$\displaystyle \sum_{K=1}^{INFINITY}(\frac{k^{2}+1}{3k^{2}-2K+11})^{k}$ th a_k doesnt go to zero so the series diverges but by the n'th root test its coverges where is my mistake ?
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The limit of the general term IS zero...
then power of numerator and denominator ar equat equal so we get 1/3 in the infinity power=0 correct ? thanks
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