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Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six decimal places).$\lim _{x \rightarrow 3^{+}} \ln \left(x^{2}-9\right)$

$-\infty$

Calculus 1 / AB

Chapter 2

Limits

Section 3

Limits of Functions at Finite Numbers

Campbell University

Harvey Mudd College

University of Nottingham

Boston College

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we want to guess the value of the limit of ex approaching three from the right of natural log of X squared minus nine by plugging in values that are slightly larger than three. So over here I went ahead and made a chart in Excel doing just that. And you can notice, as we get closer and closer to three, the value just become Maur negative. And if you were to just keep plugging and more zeros and getting closer to three from the right, then this would just keep getting more and more negative. So we might guess that the limit of this would be negative Infinity.

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