Question

Compute the limits .
$\underset{x\to 0}{lim}\frac{x^2+2e^x}{x^3+x+1}$

Answer 1

$li{m}_{x\to 0}\frac{x^2+2e^x}{x^3+x+1}$

$=\frac{0+2}{0+0+1}$

$=2$