Prove that

$\displaystyle \frac{2^x}{3^{2x+1}}$ converges to 0 as x approaches infinity.

Not quite sure how to begin this. I know that it's true, but I don't know how to prove it using definitions and theorems. Any hints?

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- Nov 15th 2009, 01:29 PMpaupsersHow to show this converges to 0
Prove that

$\displaystyle \frac{2^x}{3^{2x+1}}$ converges to 0 as x approaches infinity.

Not quite sure how to begin this. I know that it's true, but I don't know how to prove it using definitions and theorems. Any hints? - Nov 15th 2009, 01:35 PMPlato
- Nov 15th 2009, 01:35 PMtonio