# Find the limit of the sequence an=2^n/(2n-1)?

This is an indeterminate form and does not tell us anything of value.

Then, differentiating numerator and denominator, we obtain

Thus,

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The limit of the sequence (a_n = \frac{2^n}{2n - 1}) as (n) approaches infinity is 0.

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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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