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Find the sum to n terms of the series: (...

Find the sum to n terms of the series: `(x+1/x)^(2)+(x^(2)+1/(x^(2)))^(2)+(x^(3)+1/(x^(3)))^(2)`+`……

A

`(x^(2n) -1)/(x^2 -1) xx (x^(2n+2) +1)/(x^(2n))+ 2n`

B

`(x^(2n)-1)/(x^2 +1) xx (x^(2n+2) - 1)/(x^(2n)) - 2n`

C

`(x^(2n) - 1)/(x^2-1) xx (x^(2n-1))/(x^(2n)) - 2n`

D

None of these

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The correct Answer is:
A
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