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Use the Comparsion Test or Limit Comparsion Test to determine whether the series converges or not.

$$\sum^\infty_{n=1} \frac{n+\sqrt n}{n+n^2}$$

$$\sum^\infty_{n=1}\frac{1+3^n}{1+2^n}$$

thanks a lot

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    Show what you did first.2012-09-28
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    Check my editing your series is correct, and **please**" next time please do read first in our site's FAQ how to correctly write mathematics here, and *check* that what you wrote makes sense before you post it.2012-09-28
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    I’m pretty sure that @DonAntonio’s edit is correct, but you didn’t use enough parentheses to make your expressions unambiguous, and you had a couple of equals signs that made no sense, so do please check.2012-09-28

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