# Limit of sequence

This is a question from my homework. Please help me!

The question is to find:

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

Thanks

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## 1 Answer

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

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thanks, but i do not know why i cannot accept your answer!!! –  Jaden Q Oct 28 '12 at 9:09
i think you need to wait couple of minutes.. –  Chasky Oct 28 '12 at 9:10
i think now you can accept the answer –  Chasky Oct 28 '12 at 9:34
i still cannot accept your answer, it keeps saying that "you can accept an answer in 9 minutes", but 9 minutes have passed away so long ago –  Jaden Q Oct 28 '12 at 9:43