Word Count : 567

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Here are the answers along with explanations: --- ### (a) -2 is a limit point of the interval \( (1-3,2] \). False. A limit point of a set \( S \) is a point where every neighborhood contains at least one point of \( S \) different from itself. The given interval appears to be a typo—assuming you meant \( (1,3,2] \), it is not a well-defined interval. If you meant \( (1,3] \), then -2 is clearly not a limit point, since no sequence from \( (1,3] \) can approach -2. --- ### (b) The series \( \frac{1}{2}-\frac{1}{6}+\frac{1}{10}-\frac{1}{14}+\cdots \) is divergent. True. The given series is an alternating series of the form: _______ ________ ________ ___ ________ ______ _______ _____ _________ _________ _________.
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