# 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, 10 months ago

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divergent

- 2 years, 10 months ago

Can you explain why?

Staff - 2 years, 10 months ago

- 2 years, 10 months ago

How is $$a$$ related to $$x$$?

- 2 years, 10 months ago

As such no relation is given, a is a constant

- 2 years, 10 months ago

Have you tried Limit Comparison Test yet?

EDIT: Yup: it's just LCT.

- 2 years, 10 months ago

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