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Thread: another infinite sequence

  1. March 8th 2009, 04:33 PM #1
    twilightstr
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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. March 8th 2009, 05:13 PM #2
    Mentia
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    \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:

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