# Does #a_n=x^n/n^x # converge for any x?

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The series ( a_n = \frac{x^n}{n^x} ) converges when ( |x| < 1 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you use the integral test to determine whether #int e^(-x^2)# converges or diverges from #[0,oo)#?

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