Does $$f(z)=\displaystyle \sum_{n=0}^{\infty} \frac{2^n+n^2}{3^n+n^3}z^n$$ converge for $z=\frac{-3}{2}$?
determine whether this series converges for this value of z
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calculus
real-analysis
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0In general, text should not go between dollars. – 2012-06-13
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0Is this a homework question? – 2012-06-13
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0no, I'm studying for GRE test.... I'm trying using Abel's test but I need to clarify this answer – 2012-06-13
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0it would be better if you put your solution here and ask for the clarification – 2012-06-13
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0To be clear, this is a subquestion of the [OP's previous queston](http://math.stackexchange.com/questions/156280/when-does-sum-n-0-infty-frac2nn23nn3zn-converge) – 2012-06-13