Find condition for which the given series is convergent or divergent

\(\large{\displaystyle \sum^{\infty}_{n=0} \frac{a^n}{x^n+n^a}}\)

where \(a\in R^{+}\)

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## Comments

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TopNewestdivergent

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Can you explain why?

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@Satyajit Mohanty @Pi Han Goh

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How is \(a\) related to \(x\)?

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As such no relation is given, a is a constant

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EDIT: Yup: it's just LCT.

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