Question

Срочно помогите дам максимальный балл!!

Answer 1

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

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