   Chapter 9.1, Problem 29E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 15-40, use properties of limits and algebraic methods to find the limits, if they exist. lim x → 3 f ( x ) , where  f ( x ) = { 10 − 2 x  if  x < 3 x 2 − x  if  x ≥ 3

To determine

To calculate: The value of limx3f(x) for the function f(x)={102xifx<3x2xifx3.

Explanation

Given Information:

The limit is limx3f(x). The function is f(x)={102xifx<3x2xifx3.

Formula used:

A limit limxcx can be simplified as,

limxcx=c

Calculation:

Consider the provided limit,

limx3f(x)

The limit from the left is represented by limx3f(x) and the limit from the right is represented by limx3+f(x).

The limxcf(x) will exist at c=3 when the limit from the left, that is, the values of f(c) but c<3, is equal to the limit from the right, that is, the values of f(c) but c>3

### 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

#### Solve the equations in Exercises 126. 1x211+1=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### 4x2 + 9y2 16x + 54y 61 = 0

Single Variable Calculus: Early Transcendentals, Volume I

#### Change 31332 in. to cm.

Elementary Technical Mathematics

#### What graph has f′(2) > 0 and f″(2) < 0?

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

#### Find for .

Study Guide for Stewart's Multivariable Calculus, 8th 