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Prove it

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

Note by Tanishq Varshney
2 years ago

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divergent Muhammad Maulana · 2 years ago

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@Muhammad Maulana Can you explain why? Calvin Lin Staff · 2 years ago

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@Tanishq Varshney How is \(a\) related to \(x\)? Pi Han Goh · 2 years ago

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@Pi Han Goh As such no relation is given, a is a constant Tanishq Varshney · 2 years ago

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@Tanishq Varshney Have you tried Limit Comparison Test yet?

EDIT: Yup: it's just LCT. Pi Han Goh · 2 years ago

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