   Chapter 10.3, Problem 48E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 21-74, calculate the limit algebraically. If the limit does not exit, say why, lim x → − 1 x 2 + 3 x x 2 + 3 x + 2

To determine

To calculate: The value of limx1x2+3xx2+3x+2 algebraically and give reason, if limit does not exist.

Explanation

Given Information:

The provided limit is limx1x2+3xx2+3x+2.

Calculation:

Consider the limit,

limx1x2+3xx2+3x+2

Simplify the limit,

limx1x2+3xx2+3x+2=limx1x(x+3)x(x+2)+1(x+2)=limx1x(x+3)(x+1)(x+2)

Consider the right side limit;

limx1+x(x+3)(x+1)(x+2)=(1+)(1++3)(1++1)(1++2)=(1)(2)(0+)(1)=2(0+)(1)

The limit is in the determinate form k0

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

Calculate y'. 42. y=(x+)4x4+4

Calculus: Early Transcendentals

In Exercises 99-106, factor out the greatest common factor from each expression. 106. 12(23u3/22u1/2)

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

Solve each equation and check: 28=73r

Elementary Technical Mathematics

Simplify each power of i. i12

Trigonometry (MindTap Course List) 