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Obtain the sum of (1)/(x+1)+(2)/(x^(2)+1...

Obtain the sum of `(1)/(x+1)+(2)/(x^(2)+1)+(4)/(x^(4)+1)+...+ (2^(n))/(x^(2^(n))+1)`

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The correct Answer is:
`(1)/(x-1)-(2^(n+1))/(x^(2^(n+1))-1)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
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  2. Observing that 1^(3)=1, 2^(3)=3+5, 3^(3)=7+9+11, 4^(3)=13+15+17+19, fi...

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  3. Obtain the sum of (1)/(x+1)+(2)/(x^(2)+1)+(4)/(x^(4)+1)+...+ (2^(n))/(...

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  4. Let A and B be two comoplex numbers such that (A)/(B)+(B)/(A)=1. Prove...

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  6. If z(1),z(2),z(3) are complex numbers such that |z(1)|=|z(2)|=|Z(3)|=|...

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  9. z(1) and z(2) are two non-zero complex numbers, they form an equilater...

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  14. If n ge0 is integer, using induction method prove that, (1)/(1+x)+(2...

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  18. Find the differential coefficient of: x^(9)-5x^(2)+3x

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  19. Find the solution set of inequation (x-2)/(x+5) gt2.

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  20. Find the differential coefficient of: x^(5)+4x

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