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

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 – Muhammad Maulana · 1 year, 1 month ago

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– Calvin Lin Staff · 1 year, 1 month ago

Can you explain why?Log in to reply

@Satyajit Mohanty @Pi Han Goh – Tanishq Varshney · 1 year, 1 month ago

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– Pi Han Goh · 1 year, 1 month ago

How is \(a\) related to \(x\)?Log in to reply

– Tanishq Varshney · 1 year, 1 month ago

As such no relation is given, a is a constantLog in to reply

EDIT: Yup: it's just LCT. – Pi Han Goh · 1 year, 1 month ago

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