   Chapter 2, Problem 15RE ### 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. lim x → π − ln ( sin x )

To determine

To find: The value of the limit limxπln(sinx).

Explanation

Calculation:

Consider the function, f(x)=ln(sinx).

Take the limit of f(x) as x approaches the value π from the left.

As x approaches the value π from the left, the value of the function y=sinx goes to 1.

Again the value of the function y=sinx goes to 1, the value of the function f(x)=ln(sinx) goes to negative infinity

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