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Question

Mathematics Question on Trigonometric Equations

Match List I with List II

| LIST I| | LIST II
---|---|---|---
A.| sin z for |z|< ∞| I.| (-1)n-1z2n-1/(2n-2)!
B.| cos z for |z|< ∞| II.| (-1)n-1zn/n
C.| tan-1z for |z|<1| III.| (-1)n-1z2n-1/(2n-1)!
D.| In(1+z) for | z|<1| IV.| (-1)n-1z2n-1/(2n-1)

Choose the correct answer from the options given below:

A

(A)-(II); (B)-(III); (C)-(IV); (D)-(I)

B

(A)-(I); (B)-(II); (C)-(IV); (D)-(III)

C

(A)-(III); (B)-(I); (C)-(IV); (D)-(II)

D

(A)-(III); (B)-(I); (C)-(II); (D)-(IV)

Answer

(A)-(III); (B)-(I); (C)-(IV); (D)-(II)

Explanation

Solution

The correct option is (C):(A)-(III); (B)-(I); (C)-(IV); (D)-(II)