Question

Срочно помогите дам максимальный балл!!

Answer 1

$displaystyle lim_{x to a}dfrac{asinleft(frac{3x}{a}-3right)}{x-a}=lim_{x to a}dfrac{sinBig(3left(frac{x}{a}-1right)Big)}{frac{x}{a}-1}=lim_{x to a}frac{3cdot (frac{x}{a}-1)}{frac{x}{a}-1}=3$

$displaystyle lim_{x to 0}Big(1+axBig)^{frac{1}{x}}=lim_{x to 0}Big(1+axBig)^{frac{1}{ax}cdot a}=e^a$