# Convergent Series Sum

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Show that if the series sum(sum sign) to infinity(top) of k=1(bottom) of a_k converges then a_k--->0

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##### Solution Summary

This is a proof regarding a convergent series. A real analysis is provided. A function is given.

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According to the definition, we say that a series converges to the sum s, and we write:

sum(a_k, k=1..infinity)= s

if ...

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