Does the Alternating Series Test determine absolute convergence?

Answer 1

No, it does not since Alternating Series Test is designed for alternating series, and absolute convergence requires all terms to be nonnegative.

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Answer 2

No, the Alternating Series Test does not determine absolute convergence. It specifically applies to alternating series, which are series where the signs of the terms alternate between positive and negative. The Alternating Series Test is used to determine whether an alternating series converges, but it does not address the absolute convergence of a series, which involves considering the convergence of the series formed by taking the absolute values of its terms. Absolute convergence is determined by other tests such as the Ratio Test or the Comparison Test.

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Answer from HIX Tutor

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.

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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