Match List-I with List-II

List-I

Series

List-II

Radius of convergence

(A)

\(\sum\left(\frac{i z-1}{2+i}\right)^n\)

(I)

0

(B)

\(\sum\left(2^{-1} z^2\right)^n\)

(II)

√5

(C)

\(\sum(n+2 i)^n z^n\)

(III)

1

(D)

\(\sum\left(1+\frac{1}{n}\right)^n z^n\)

(IV)

√2

Choose the correct answer from the options given below:

1
(A) - (I), (B) - (II), (C) - (III), (D) - (IV)
2
(A) - (I), (B) - (III), (C) - (II), (D) - (IV)
3
(A) - (II), (B) - (IV), (C) - (I), (D) - (III)
4
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

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