Question

1. Find the radius of convergence and region of convergence of the following power series :
i.) ∑


!
∞
=0
,
ii.) +

2
2
2 +
2!
3
3

3 + ⋯ .
2. Show that the sequence of functions 〈
〉 where
() =
(1 − )converges uniformly in
[0,1].
3. Evaluate :
−1 (
3+7
2−2−3
) .
_____________________________________

Answer 1

Answer:

1)22)3 this is correct answer

Answer 2

Answer:

this question is to big I can't answer it