Question: Let (an) be a sequence. Define the sequence In = a + a+...an. Assume that {n} is convergent. Show that {an) is convergent and

Let (an) be a sequence. Define the sequence In = a +

Let (an) be a sequence. Define the sequence In = a + a+...an. Assume that {n} is convergent. Show that {an) is convergent and find its limit.

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Since Xn is convergent it is also a Cauchy sequence meaning that for any positive epsilon there e... View full answer

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