Question

Find the limit:

$\underset{x\to 2}{lim}\frac{x^5-32}{x-2}$.

Answer 1

Now,

$\underset{x\to 2}{lim}\frac{x^5-32}{x-2}$

$=\underset{x\to 2}{lim}\frac{x^5-2^5}{x-2}$

$=5\times 2^{5-1}$ [ Using direct formula]

$=5\times 16$

$=80$.