Prove by mathematical induction for all positives,

tan

I have proven it for n=1, but stuck with the proving for n=k+1 part.

Any help would be greatly appreciated, thanks.

tan

^{-1}[1/(2 x 1^{2})] + tan^{-1}[1/(2 x 2^{2})] + ... + tan^{-1}[1/(2n^{2})] = pi/4 - tan^{-1}[1/(2n+1)]I have proven it for n=1, but stuck with the proving for n=k+1 part.

Any help would be greatly appreciated, thanks.

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