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Show that 1/(x+1)+2/(x^2+1)+4/x^4+1)+….....

Show that 1/(x+1)+2/(x^2+1)+4/x^4+1)+…..+2^n/(x^2^n+1)= /(x-1)- 2^(n+1)/(x^2(n+1)` -1)`

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