Question

If Ea, is a series of complex numbers which converges absolutely, then every rearrang
converges, and they all converges to the same sum.
PRACTICE SET - II
Š
and 3
n=1
n=) n
Exercise 1. Consider the power series
Σ" Τhen
Jn
(a) Both converge on (-1,1]
(b) Both converge on (-1,1)
(c) Exactly one of them converges on (-1,1] (d) None of them converges on (-1,1)
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Answer 1

Answer:

This series converges if the sequence of partial sums ... n=1 zn does not converge then it diverges.

Step-by-step explanation:

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