Question

Помогите lim 1+7^n+2/3-7^n

Answer 1

$\lim\limits _{n \to +\infty}\frac{1+7^{n+2}}{3-7^{n}}= \lim\limits _{n \to +\infty}\frac{7^{n+2}(\frac{1}{7^{n+2}}+1)}{7^{n}(\frac{3}{7^{n}}-1)}= \lim\limits _{n \to +\infty}\frac{7^2(\frac{1}{7^{n+2}}+1)}{\frac{3}{7^{n}}-1}=\\\\= \frac{49(0+1)}{0-1} =-49$