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Compute the indicated limit.$$\text { (a) } \lim _{x \rightarrow 2^{+}} \frac{x}{(x-2)^{2}} \quad \text { (b) } \lim _{x \rightarrow 2^{-}} \frac{x}{(x-2)^{2}}$$

(a) $\mathrm{q}$(b) $\mathrm{q}$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 4

Limits at Infinity, Infinite Limits and Asymptotes

Derivatives

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Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

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Hello. We have to find the limit. This is the function, and we can see that extends to Yeah. So then ex Minister will approaches to the zero okay and is greater than zero and X minus two is greater than is greater than zero if extends to to bless and X minus two will be less than euro at X two minus okay. And before the limit. Okay, then it will be do post airborne notice to manage to What is the question in Freddie? So it is two positives. It would be zero plus. So here we can see that it is two months. So two minus minus two. It will be to monies upon zero of manners. Mhm power is of course, to infinity. It is also in beauty. Yeah, Mhm. Thank you. I hope you're not sure.

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