Prove: Let be a metric space, let be a limit point of , and let be a function. Suppose that . For all such that , there exists such that if then In other words for some deleted -ball about . How would you show this? What value of would you pick?
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Originally Posted by manjohn12 Prove: Let be a metric space, let be a limit point of , and let be a function. Suppose that . For all such that , there exists such that if then Pick so that . This means that . Now this means there is so that . But that means so .
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