Prove the Power Property for Limits: Suppose {an} converges to a and m E N. Use induction on m and the Product Property to prove that {a} converges to a". That is, prove that for all m e N, lim o- (lim a.)" n-00 provided lim a, exists. n00

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.