Evaluate the Limits of

Question

$\frac{X^{2-X-2}}{X(X-2)}As X\rightarrow 2.$

09 Sep 2023

Answer :

Word Count : 344

We're asked to evaluate:

$\lim_{{X \to 2}} \frac{X^{2-X-2}}{X(X-2)}$

First, simplify the exponent in the numerator:

$2 - X - 2 = -X$

So the function becomes:

$\lim_{{X \to 2}} \frac{X^{-X}}{X(X-2)}$

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