Suppose and . Define a sequence as follows: and . Prove that converges to . Let . Then such that for we have and . I don't know what to do now.
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Let . For we have and hence if we have .
Originally Posted by dwsmith Suppose and . Define a sequence as follows: and . Prove that converges to . Let . Then such that for we have and . Let . If then if we have and . Use a similar idea if .
Originally Posted by Plato Let . If then if we have and . Use a similar idea if . Why is
Originally Posted by dwsmith Why is First of all, it insures absolutely that . Therefore, we can use anyone of the statements already restricted.
Originally Posted by Plato then if we have and . Can you also explain this?
Originally Posted by dwsmith Can you also explain this? You do the mathematics. Just take many cases.