Question 1. Let (an) and (bn) be sequences and suppose that the series Σ(-1)"bn con- verges and that an lim n+∞0 bn 1. D

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Question 1. Let (an) and (bn) be sequences and suppose that the series Σ(-1)"bn con- verges and that an lim n+∞0 bn 1. D

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Question 1. Let (an) and (bn) be sequences and suppose that the series Σ(-1)"bn con- verges and that an lim n+∞0 bn 1. Does an converge? Explore this question to the full extent that you can; are there variations on the conditions given that make it true or false? Give examples illustrating your reasoning.
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