Question

Evaluate
$\rm \displaystyle \lim_{x\to 2}\ \frac{x^{5}+32}{x^{3}+8}$

Answer 1

4 is the required answer

Answer 2

Solution :

It is given that ,

$\rm \displaystyle \lim_{x\to 2}\ \frac{x^{5}+32}{x^{3}+8}$

= $\rm \displaystyle \frac{2^{5}+32}{2^{3}+8}$

= $\frac{32+32}{8+8}$

= $64/16$

= 4

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