BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem

Find the limit of f ( x ) as x approaches 0.

f ( x ) = { x 2 + 1 ,    x  < 0 2 x + 1 ,    x > 0

To determine

To calculate: The limit of the function f(x)={x2+1,      x<02x+1,      x<0 as x approaches to 0.

Explanation

Given information:

The function is f(x)={x2+1,      x<02x+1,      x<0.

Formula used:

Notation for a limit:

limxcf(x)=L

The above expression is represented as, “the limit of f(x) as x approaches c is L.”

Calculation:

Consider the provided function, f(x)={x2+1,      x<02x+1,      x<0.

The provided function breaks at point 0, so calculate the value of f(x) near point x=0.

For x<0

The function is f(x)=x2+1.

The limit from the left to 0 for the function is given as,

limx0f(x)=limx0(x2+1)=(0)2+1=1

For x>0

The function is f(x)=2x+1.

The limit from the right to 0 for the function is given as,

limx0+f(x)=limx0+(2x+1)=2(x)+1=2+1=3

Now, both side limit of the function exists and equal to 1.

limx0+f(x)=limx0f(x)

Substitute 0 for x in either function f(x)=x2+1.

f(0)=x2+1=02+1=1

Now, choose some values for x and compute the value for f(x), in order to form the ordered pairs that will plot on the graph

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-1.1 P-3SWUSect-1.1 P-4SWUSect-1.1 P-5SWUSect-1.1 P-6SWUSect-1.1 P-7SWUSect-1.1 P-8SWUSect-1.1 P-9SWUSect-1.1 P-10SWUSect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-6ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10ESect-1.1 P-11ESect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.2 P-1CPSect-1.2 P-2CPSect-1.2 P-3CPSect-1.2 P-4CPSect-1.2 P-5CPSect-1.2 P-6CPSect-1.2 P-7CPSect-1.2 P-1SWUSect-1.2 P-2SWUSect-1.2 P-3SWUSect-1.2 P-4SWUSect-1.2 P-5SWUSect-1.2 P-6SWUSect-1.2 P-7SWUSect-1.2 P-8SWUSect-1.2 P-9SWUSect-1.2 P-10SWUSect-1.2 P-11SWUSect-1.2 P-12SWUSect-1.2 P-13SWUSect-1.2 P-14SWUSect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.2 P-23ESect-1.2 P-24ESect-1.2 P-25ESect-1.2 P-26ESect-1.2 P-27ESect-1.2 P-28ESect-1.2 P-29ESect-1.2 P-30ESect-1.2 P-31ESect-1.2 P-32ESect-1.2 P-33ESect-1.2 P-34ESect-1.2 P-35ESect-1.2 P-36ESect-1.2 P-37ESect-1.2 P-38ESect-1.2 P-39ESect-1.2 P-40ESect-1.2 P-41ESect-1.2 P-42ESect-1.2 P-43ESect-1.2 P-44ESect-1.2 P-45ESect-1.2 P-46ESect-1.2 P-47ESect-1.2 P-48ESect-1.2 P-49ESect-1.2 P-50ESect-1.2 P-51ESect-1.2 P-52ESect-1.2 P-53ESect-1.2 P-54ESect-1.2 P-55ESect-1.2 P-56ESect-1.2 P-57ESect-1.2 P-58ESect-1.2 P-59ESect-1.2 P-60ESect-1.2 P-63ESect-1.2 P-64ESect-1.2 P-65ESect-1.2 P-66ESect-1.2 P-67ESect-1.2 P-68ESect-1.2 P-69ESect-1.2 P-70ESect-1.3 P-1CPSect-1.3 P-2CPSect-1.3 P-3CPSect-1.3 P-4CPSect-1.3 P-5CPSect-1.3 P-6CPSect-1.3 P-7CPSect-1.3 P-8CPSect-1.3 P-1SWUSect-1.3 P-2SWUSect-1.3 P-3SWUSect-1.3 P-4SWUSect-1.3 P-5SWUSect-1.3 P-6SWUSect-1.3 P-7SWUSect-1.3 P-8SWUSect-1.3 P-9SWUSect-1.3 P-10SWUSect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.3 P-13ESect-1.3 P-14ESect-1.3 P-15ESect-1.3 P-16ESect-1.3 P-17ESect-1.3 P-18ESect-1.3 P-19ESect-1.3 P-20ESect-1.3 P-21ESect-1.3 P-22ESect-1.3 P-23ESect-1.3 P-24ESect-1.3 P-25ESect-1.3 P-26ESect-1.3 P-27ESect-1.3 P-28ESect-1.3 P-29ESect-1.3 P-30ESect-1.3 P-31ESect-1.3 P-32ESect-1.3 P-33ESect-1.3 P-34ESect-1.3 P-35ESect-1.3 P-36ESect-1.3 P-37ESect-1.3 P-38ESect-1.3 P-39ESect-1.3 P-40ESect-1.3 P-41ESect-1.3 P-42ESect-1.3 P-43ESect-1.3 P-44ESect-1.3 P-45ESect-1.3 P-46ESect-1.3 P-47ESect-1.3 P-48ESect-1.3 P-49ESect-1.3 P-50ESect-1.3 P-51ESect-1.3 P-52ESect-1.3 P-53ESect-1.3 P-54ESect-1.3 P-55ESect-1.3 P-56ESect-1.3 P-57ESect-1.3 P-58ESect-1.3 P-59ESect-1.3 P-60ESect-1.3 P-61ESect-1.3 P-62ESect-1.3 P-63ESect-1.3 P-64ESect-1.3 P-65ESect-1.3 P-66ESect-1.3 P-67ESect-1.3 P-68ESect-1.3 P-69ESect-1.3 P-70ESect-1.3 P-71ESect-1.3 P-72ESect-1.3 P-73ESect-1.3 P-74ESect-1.3 P-75ESect-1.3 P-76ESect-1.3 P-77ESect-1.3 P-78ESect-1.3 P-79ESect-1.3 P-80ESect-1.3 P-81ESect-1.3 P-82ESect-1.3 P-83ESect-1.3 P-84ESect-1.3 P-85ESect-1.3 P-86ESect-1.3 P-87ESect-1.3 P-88ESect-1.3 P-89ESect-1.3 P-90ESect-1.3 P-91ESect-1.3 P-92ESect-1.3 P-1QYSect-1.3 P-2QYSect-1.3 P-3QYSect-1.3 P-4QYSect-1.3 P-5QYSect-1.3 P-6QYSect-1.3 P-7QYSect-1.3 P-8QYSect-1.3 P-9QYSect-1.3 P-10QYSect-1.3 P-11QYSect-1.3 P-12QYSect-1.3 P-13QYSect-1.3 P-14QYSect-1.3 P-15QYSect-1.3 P-16QYSect-1.3 P-17QYSect-1.3 P-18QYSect-1.3 P-19QYSect-1.3 P-20QYSect-1.3 P-21QYSect-1.3 P-22QYSect-1.4 P-1CPSect-1.4 P-2CPSect-1.4 P-3CPSect-1.4 P-4CPSect-1.4 P-5CPSect-1.4 P-6CPSect-1.4 P-7CPSect-1.4 P-8CPSect-1.4 P-1SWUSect-1.4 P-2SWUSect-1.4 P-3SWUSect-1.4 P-4SWUSect-1.4 P-5SWUSect-1.4 P-6SWUSect-1.4 P-7SWUSect-1.4 P-8SWUSect-1.4 P-9SWUSect-1.4 P-10SWUSect-1.4 P-11SWUSect-1.4 P-12SWUSect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.4 P-17ESect-1.4 P-18ESect-1.4 P-19ESect-1.4 P-20ESect-1.4 P-21ESect-1.4 P-22ESect-1.4 P-23ESect-1.4 P-24ESect-1.4 P-25ESect-1.4 P-26ESect-1.4 P-27ESect-1.4 P-28ESect-1.4 P-29ESect-1.4 P-30ESect-1.4 P-31ESect-1.4 P-32ESect-1.4 P-33ESect-1.4 P-34ESect-1.4 P-35ESect-1.4 P-36ESect-1.4 P-37ESect-1.4 P-38ESect-1.4 P-39ESect-1.4 P-40ESect-1.4 P-41ESect-1.4 P-42ESect-1.4 P-43ESect-1.4 P-44ESect-1.4 P-45ESect-1.4 P-46ESect-1.4 P-47ESect-1.4 P-48ESect-1.4 P-49ESect-1.4 P-50ESect-1.4 P-51ESect-1.4 P-52ESect-1.4 P-53ESect-1.4 P-54ESect-1.4 P-55ESect-1.4 P-56ESect-1.4 P-57ESect-1.4 P-58ESect-1.4 P-59ESect-1.4 P-60ESect-1.4 P-61ESect-1.4 P-62ESect-1.4 P-63ESect-1.4 P-64ESect-1.4 P-65ESect-1.4 P-66ESect-1.4 P-67ESect-1.4 P-68ESect-1.4 P-69ESect-1.4 P-70ESect-1.4 P-71ESect-1.4 P-72ESect-1.4 P-73ESect-1.4 P-74ESect-1.4 P-75ESect-1.4 P-76ESect-1.4 P-77ESect-1.4 P-78ESect-1.4 P-79ESect-1.4 P-80ESect-1.4 P-81ESect-1.4 P-82ESect-1.4 P-83ESect-1.4 P-84ESect-1.4 P-85ESect-1.5 P-1CPSect-1.5 P-2CPSect-1.5 P-3CPSect-1.5 P-4CPSect-1.5 P-5CPSect-1.5 P-6CPSect-1.5 P-7CPSect-1.5 P-8CPSect-1.5 P-9CPSect-1.5 P-10CPSect-1.5 P-11CPSect-1.5 P-1SWUSect-1.5 P-2SWUSect-1.5 P-3SWUSect-1.5 P-4SWUSect-1.5 P-5SWUSect-1.5 P-6SWUSect-1.5 P-7SWUSect-1.5 P-8SWUSect-1.5 P-9SWUSect-1.5 P-10SWUSect-1.5 P-11SWUSect-1.5 P-12SWUSect-1.5 P-13SWUSect-1.5 P-14SWUSect-1.5 P-1ESect-1.5 P-2ESect-1.5 P-3ESect-1.5 P-4ESect-1.5 P-5ESect-1.5 P-6ESect-1.5 P-7ESect-1.5 P-8ESect-1.5 P-9ESect-1.5 P-10ESect-1.5 P-11ESect-1.5 P-12ESect-1.5 P-13ESect-1.5 P-14ESect-1.5 P-15ESect-1.5 P-16ESect-1.5 P-17ESect-1.5 P-18ESect-1.5 P-19ESect-1.5 P-20ESect-1.5 P-21ESect-1.5 P-22ESect-1.5 P-23ESect-1.5 P-24ESect-1.5 P-25ESect-1.5 P-26ESect-1.5 P-27ESect-1.5 P-28ESect-1.5 P-29ESect-1.5 P-30ESect-1.5 P-31ESect-1.5 P-32ESect-1.5 P-33ESect-1.5 P-34ESect-1.5 P-35ESect-1.5 P-36ESect-1.5 P-37ESect-1.5 P-38ESect-1.5 P-39ESect-1.5 P-40ESect-1.5 P-41ESect-1.5 P-42ESect-1.5 P-43ESect-1.5 P-44ESect-1.5 P-45ESect-1.5 P-46ESect-1.5 P-47ESect-1.5 P-48ESect-1.5 P-49ESect-1.5 P-50ESect-1.5 P-51ESect-1.5 P-52ESect-1.5 P-53ESect-1.5 P-54ESect-1.5 P-55ESect-1.5 P-56ESect-1.5 P-57ESect-1.5 P-58ESect-1.5 P-59ESect-1.5 P-60ESect-1.5 P-61ESect-1.5 P-62ESect-1.5 P-63ESect-1.5 P-64ESect-1.5 P-65ESect-1.5 P-66ESect-1.5 P-67ESect-1.5 P-68ESect-1.5 P-69ESect-1.5 P-70ESect-1.5 P-71ESect-1.5 P-72ESect-1.5 P-73ESect-1.5 P-74ESect-1.5 P-75ESect-1.5 P-76ESect-1.5 P-77ESect-1.6 P-1CPSect-1.6 P-2CPSect-1.6 P-3CPSect-1.6 P-4CPSect-1.6 P-5CPSect-1.6 P-6CPSect-1.6 P-1SWUSect-1.6 P-2SWUSect-1.6 P-3SWUSect-1.6 P-4SWUSect-1.6 P-5SWUSect-1.6 P-6SWUSect-1.6 P-7SWUSect-1.6 P-8SWUSect-1.6 P-9SWUSect-1.6 P-10SWUSect-1.6 P-1ESect-1.6 P-2ESect-1.6 P-3ESect-1.6 P-4ESect-1.6 P-5ESect-1.6 P-6ESect-1.6 P-7ESect-1.6 P-8ESect-1.6 P-9ESect-1.6 P-10ESect-1.6 P-11ESect-1.6 P-12ESect-1.6 P-13ESect-1.6 P-14ESect-1.6 P-15ESect-1.6 P-16ESect-1.6 P-17ESect-1.6 P-18ESect-1.6 P-19ESect-1.6 P-20ESect-1.6 P-21ESect-1.6 P-22ESect-1.6 P-23ESect-1.6 P-24ESect-1.6 P-25ESect-1.6 P-26ESect-1.6 P-27ESect-1.6 P-28ESect-1.6 P-29ESect-1.6 P-30ESect-1.6 P-31ESect-1.6 P-32ESect-1.6 P-33ESect-1.6 P-34ESect-1.6 P-35ESect-1.6 P-36ESect-1.6 P-37ESect-1.6 P-38ESect-1.6 P-39ESect-1.6 P-40ESect-1.6 P-41ESect-1.6 P-42ESect-1.6 P-43ESect-1.6 P-44ESect-1.6 P-45ESect-1.6 P-46ESect-1.6 P-47ESect-1.6 P-48ESect-1.6 P-49ESect-1.6 P-50ESect-1.6 P-51ESect-1.6 P-52ESect-1.6 P-53ESect-1.6 P-54ESect-1.6 P-55ESect-1.6 P-56ESect-1.6 P-57ESect-1.6 P-58ESect-1.6 P-59ESect-1.6 P-60ESect-1.6 P-61ESect-1.6 P-62ESect-1.6 P-63ESect-1.6 P-64ESect-1.6 P-65ESect-1.6 P-66ESect-1.6 P-67ESect-1.6 P-68ESect-1.6 P-69ECh-1 P-1RECh-1 P-2RECh-1 P-3RECh-1 P-4RECh-1 P-5RECh-1 P-6RECh-1 P-7RECh-1 P-8RECh-1 P-9RECh-1 P-10RECh-1 P-11RECh-1 P-12RECh-1 P-13RECh-1 P-14RECh-1 P-15RECh-1 P-16RECh-1 P-17RECh-1 P-18RECh-1 P-19RECh-1 P-20RECh-1 P-21RECh-1 P-22RECh-1 P-23RECh-1 P-24RECh-1 P-25RECh-1 P-26RECh-1 P-27RECh-1 P-28RECh-1 P-29RECh-1 P-30RECh-1 P-31RECh-1 P-32RECh-1 P-33RECh-1 P-34RECh-1 P-35RECh-1 P-36RECh-1 P-37RECh-1 P-38RECh-1 P-39RECh-1 P-40RECh-1 P-41RECh-1 P-42RECh-1 P-43RECh-1 P-44RECh-1 P-45RECh-1 P-46RECh-1 P-47RECh-1 P-48RECh-1 P-49RECh-1 P-50RECh-1 P-51RECh-1 P-52RECh-1 P-53RECh-1 P-54RECh-1 P-55RECh-1 P-56RECh-1 P-57RECh-1 P-58RECh-1 P-59RECh-1 P-60RECh-1 P-61RECh-1 P-62RECh-1 P-63RECh-1 P-64RECh-1 P-65RECh-1 P-66RECh-1 P-67RECh-1 P-68RECh-1 P-69RECh-1 P-70RECh-1 P-71RECh-1 P-72RECh-1 P-73RECh-1 P-74RECh-1 P-75RECh-1 P-76RECh-1 P-77RECh-1 P-78RECh-1 P-79RECh-1 P-80RECh-1 P-81RECh-1 P-82RECh-1 P-83RECh-1 P-84RECh-1 P-85RECh-1 P-86RECh-1 P-87RECh-1 P-88RECh-1 P-89RECh-1 P-90RECh-1 P-91RECh-1 P-92RECh-1 P-93RECh-1 P-94RECh-1 P-95RECh-1 P-96RECh-1 P-97RECh-1 P-98RECh-1 P-99RECh-1 P-100RECh-1 P-101RECh-1 P-102RECh-1 P-103RECh-1 P-104RECh-1 P-105RECh-1 P-106RECh-1 P-107RECh-1 P-108RECh-1 P-109RECh-1 P-110RECh-1 P-111RECh-1 P-112RECh-1 P-113RECh-1 P-114RECh-1 P-115RECh-1 P-116RECh-1 P-117RECh-1 P-118RECh-1 P-119RECh-1 P-120RECh-1 P-121RECh-1 P-122RECh-1 P-123RECh-1 P-124RECh-1 P-125RECh-1 P-126RECh-1 P-127RECh-1 P-128RECh-1 P-1TYSCh-1 P-2TYSCh-1 P-3TYSCh-1 P-4TYSCh-1 P-5TYSCh-1 P-6TYSCh-1 P-7TYSCh-1 P-8TYSCh-1 P-9TYSCh-1 P-10TYSCh-1 P-11TYSCh-1 P-12TYSCh-1 P-13TYSCh-1 P-14TYSCh-1 P-15TYSCh-1 P-16TYSCh-1 P-17TYSCh-1 P-18TYSCh-1 P-19TYSCh-1 P-20TYSCh-1 P-21TYSCh-1 P-22TYS

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Expand each expression in Exercises 122. (xx2)(x+x2)

Finite Mathematics and Applied Calculus (MindTap Course List)

The circle with equation kx2 + ky2 = a2 lies inside the circle with equation x2 + y2 = a2, provided that k 1.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Use a Table of Integrals to evaluate .

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th