Question

Evaluate the following limits
$\underset{x\to 0}{lim}{\left(\frac{x+2}{x+1}\right)}^{x+3}$

Answer 1

${lim}_{x\to 0}(\frac{x+2}{x+1}{)}^{x+3}$
solving the limits we get
$(\frac{0+2}{0+1}{)}^{0+3}$
$(\frac{2}{2}{)}^3$
$(2{)}^3=8$