Question

$lim_{n to infty} (1 + frac{2}{x} )^{x+3}$

Answer 1

$lim_{n to infty} (1+frac{2}{x})^{x+3} =lim_{n to infty} (1+frac{1}{frac{x}2})^{(x+3)*frac{x}2*frac{2}x}=e^{ lim_{n to infty} frac{2(x+3)}{x} }=\\=e^2$