`lim_(theta -> 0) sin(theta)/(theta + tan(theta))` Find the limit.

Textbook Question

Chapter 3, 3.3 - Problem 45 - Calculus: Early Transcendentals (7th Edition, James Stewart).
See all solutions for this textbook.

1 Answer | Add Yours

kspcr111's profile picture

kspcr111 | In Training Educator

Posted on

`lim_(theta -> 0) sin(theta)/(theta + tan(theta))`

As `theta -> 0` then    `sin(theta)-> theta` and also    `tan(theta)`

so,

`lim_(theta -> 0) sin(theta)/(theta + tan(theta))`

`=>lim_(theta -> 0) (theta)/(theta + (theta))`

`=>lim_(theta -> 0) (theta)/(2* theta )= 1/2`

We’ve answered 318,957 questions. We can answer yours, too.

Ask a question