Question: A series k=0 ak is said to be Abel summable to L if and only if a) Prove that if k=0 ak converges to L,

A series ˆ‘ˆžk=0 ak is said to be Abel summable to L if and only if
Eaurt = L. lim r+1- k=0

a) Prove that if ˆ‘ˆžk=0 ak converges to L, then ˆ‘ˆžk=0 ak is Abel summable to L.
b) Find the Abel sum of ˆ‘ˆžk=0 (-1)k.

Eaurt = L. lim r+1- k=0

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