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if i=sqrt-1, the number of values of i^n...

if `i=sqrt-1`, the number of values of `i^n+i^-n` for different `n epsilon I`, is:

A

`(2^n)/((1-i)^(2n))+((1+i)^(2n))/(2^n)`

B

`((1+i)^(2n))/(2^n)+((1-i)^(2n))/2^n`

C

`((1+i)^(2n))/(2^n)+(2^n)/(1-i)^(2n)`

D

`(2^n)/((1+i)^(2n))+2^n/((1-i)^(2n))`

Text Solution

Verified by Experts

The correct Answer is:
B,D
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