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

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Calculus 1 / AB

Chapter 1

Limits and Their Properties

Section 5

Infinite Limits

Limits

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Lectures

04:40

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

13:59

In mathematics, a tangent line to a curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. This notion of tangency points and the associated derivatives was used by Newton in his development of infinitesimal calculus. The first rigorous definition of a tangent line was given by Brook Taylor in 1715.

02:23

Find $\lim _{x \rightarrow…

01:59

evaluate the limit.$$<…

0:00

Find the indicated limits.…

02:38

$$\lim _{x \rightarrow 0^{…

07:52

Find the limit, if it exis…

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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