Question

lim(1+6x)^(3/x)
(x->0)

Answer 1

$\lim_{x \to 0} (1+6x)^{\frac{1}{6x}*6x*\frac{3}{x}}=[ \lim_{x \to 0} (1+6x)^{\frac{1}{6x}}]^{6x*\frac{3}{x}}=e^{18}$