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Thread: another infinite sequence

  1. #1
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    another infinite sequence

    An= 2^n/(3^(n+1)) is the sequence convergent? if so, find the limit
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  2. #2
    Member Mentia's Avatar
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    $\displaystyle \frac{2^{n} }{3^{n+1} } = \frac{1 }{3 } \left ( \frac{2^{n} }{3^{n} } \right ) = \frac{1 }{3 } \left ( \frac{2 }{3 } \right ) ^{n}$

    So you can probably evaluate:

    $\displaystyle \lim_{n \rightarrow \infty } \frac{1 }{3 } \left ( \frac{2 }{3 } \right ) ^{n}$
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