# Limit of sequence

The question is to find:

$$\lim_{n\to\infty} \frac{2^{n+1}}{ 7^n}$$

Thanks

-
Hint: Use this fact: $$\lim_{n \to +\infty} a^n = 0$$ if $|a| < 1$ (proof?). Also, notice $$\frac{2^{n+1}}{7^n} = 2(\frac{2}{7})^n$$