# Limit(sum[n/(n²+k)] for k from k=1 to k=2n ? many thanks

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The limit of the sum (\sum_{k=1}^{2n} \frac{n}{n^2+k}) as (n) approaches infinity is (\ln(2)).

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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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