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Guess the value of the limit (if it exists) by evaluatingthe function at the given numbers (correct to six decimal places).$\lim _{x \rightarrow-1} \frac{x^{2}-2 x}{x^{2}-x-2}$$x=0,-0.5,-0.9,-0.95,-0.99,-0.999$$-2,-1.5,-1.1,-1.01,-1.001$

Does not exist.

Calculus 1 / AB

Chapter 1

FUNCTIONS AND LIMITS

Section 3

The Limit of a Function

Functions

Limits

Continuous Functions

Campbell University

Harvey Mudd College

Boston College

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so we're gonna be guessing this limit using these values. What you're gonna do is take all of these X values and plug them in for X, and then you might want to write them in a list. And you might want to divide it right here because all of these values on the left are approaching negative one from one side, and these values on the right are approaching negative one from the other side. So what I'm gonna do is write the's going top to bottom. So first all plugging zero per acts and write the answer here. The negative 00.5 negative 0.9 and so on. So if we pulled in zero gets here, Hope you plug in naked of 00.5, you get a negative one, then negative nine. Negative. 19 negative 99 negative. 999. And with these points we get to Bree 1100 wine and 1000 in line. So what is the limit as X approaches negative one. Well, as we get closer to negative wine with these values over here on the left, it looks like it's approaching negative. 1000. We go with these values over here on the right, it looks like it's approaching some positive number, so this means that the limit does not exist.

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