SHOW WORK PLEASE D Find the sum S xx222 x3322 x4423 ln1x2

SHOW WORK PLEASE! :D

Find the sum S = x+x2/2.2 + x3/3.22 +x4/4.23 +.... ln(1-x/2) ln(1+x) -1/(1- x/2)2 -2ln(1-x/2)

Solution

its an AGP let S = x + x^2/(2*2) + x^3/(3.2^2) ... xS/2 = 0 + x^2/2 + x^3/(2.2^2) ... subtract S(1-x/2) = x + x^2/2 * (-1/2) + x^3/2^2 * (-1/6)... S(1-x/2) = x+ x^2/2 * (S) S = -1/(1-x/2)^2 ANSWER HENCE OPTION C IS CORRECT