The value of 1/(1-x) + 1/(1+x) + 2/(1+x^2) + 4/(1+x^4) Pick one.
A) 8/(1-x^8)
B) 4x/(1+x^2)
C) 4/(1-x^6)
D) 4/(1+x^4)
E) 4x/(1-x^4)
Highlighted part has mistake as the exponent of x must be 4 in last term   CORRECT QUESTION ISThe value of 1/(1-x) + 1/(1+x) + 2/(1+x^2) + 4/(1+x^4) = ?   Solution is as mentioned below...   one more way that could get the answer in the type of eqn and choices given is to substitute some value for x...   0 would be better as the eq has constant term free of term 'x'..   the Eq gives us 8 as the ans , as also only choice 8/(1-x^8)..
<result>A</result>
The value of 1/(1-x) + 1/(1+x) + 2/(1+x^2) + 4/(1+x^4)