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Find the limit. $\lim _{x \rightarrow 1 / 2} x \s…

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Problem 46 Easy Difficulty

Find the limit.
$\lim _{x \rightarrow 0} \frac{x+2}{\cot x}$

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Calculus 1 / AB

Calculus

Chapter 1

Limits and Their Properties

Section 5

Infinite Limits

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Video Transcript

For this problem, we are asked to find the limit as X approaches zero of X plus two divided by Kotani vax. Now, what we can do here is rewrite this limit using the fact that coat of wax is one over tan vax, which would mean that it is a coast of Costa facts over side effects. But when we divide by co tan of X, then that means that it's the same thing as multiplying by tan of X. Or multiplying by sine of X over Kosovo X. Now there's nothing that keeps us from evaluating this directly. We would have that the limit is going to equal two times 0/1, so it's just going to equal zero.

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Ron Larson, Robert P. Hostetler, Bruce H. Edwards

Calculus

Catherine Ross

Anna Marie Vagnozzi

Heather Zimmers

Caleb Elmore

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus

Catherine Ross

Anna Marie Vagnozzi

Heather Zimmers

Caleb Elmore

Ron Larson, Robert P. Hostetler, Bruce H. EdwardsCalculus

Catherine Ross

Anna Marie Vagnozzi

Heather Zimmers

Caleb Elmore

Ron Larson, Robert P. Hostetler, Bruce H. Edwards

Calculus