# Does #a_n=(-1/2)^n# sequence converge or diverge? How do you find its limit?

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Does #a_n=(-1/2)^n# sequence converge or diverge? How do you find its limit?

Does

Sequence converges.

Let's examine a few terms found in this list.

The question of whether the sequence converges is posed to us.

Thus, in our illustration:

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The sequence ( a_n = (-1/2)^n ) converges. Its limit can be found by analyzing the behavior of the terms as ( n ) approaches infinity. Since the absolute value of ( (-1/2)^n ) approaches 0 as ( n ) becomes large, the sequence converges to 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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