# How to calculate this? #lim_(n-> oo)int_0^1x^n/(x^n+1)dx#

Here's how we would rewrite our integral:

While the first integral can be solved fairly easily, the second integral requires us to substitute in that previously created Maclaurin series.

We can integrate quite easily now.

We can remove the second set of parentheses since it contains only zeros.

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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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