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Homework Help: Convergence or divergence

  1. Oct 30, 2013 #1
    The sum is $$\sum_{n=1}^{\infty} \frac{n+2^n}{n+3^n}$$ Is this convergent or divergent? I tried to use the divergent test but the test fail because $a_n = (n+2^n)/(n+3^n) = 0 $ as $n$ goes to infinity. Could someone point me to the right direction?

  2. jcsd
  3. Oct 30, 2013 #2


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    What are some other tests that you know? Can you apply any of them?
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