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Math Help - 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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     \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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