   Chapter 4.4, Problem 45E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. lim x → 0 sin 5 x csc 3 x

To determine

To evaluate: The value of limx0sin5xcsc3x .

Explanation

Express given function as, limx0sin5xcsc3x=limx0sin5xsin3x .

Obtain the value of the function as x approaches 0 .

As x approaches , the numerator sin5x approaches to 0 and denominator sin3x approaches to 0 .

Thus, limx0sin5xsin3x= is in an indeterminate form.

Therefore, apply L’Hospital’s Rule and obtain the limit as shown below

limx0sin5xcsc3x=limx0sin5xsin3x=limx

### 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

#### Symmetry Test the equation for symmetry. 105. y = x4 + x2

Precalculus: Mathematics for Calculus (Standalone Book)

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

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 1520, simplify the expression. 15. 4(x2+y)3x2+y

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

#### In problems 37-48, compute and simplify so that only positive exponents remain. 44.

Mathematical Applications for the Management, Life, and Social Sciences

#### Change 450 cm to m.

Elementary Technical Mathematics

#### True or False: f(x) = 4x2 8x + 1 is increasing on (0, 1).

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