1. The problem statement, all variables and given/known data Show that 1- x/2 + x^2/3 - x^3/4 + x^4/5.... (-1)^n (x^n)/(n+1) = ln(1+x)/x with |x| < 1 2. Relevant equations 3. The attempt at a solution finding derivative of the function multiplied by x d/dx(xS(x)) = 1 -x + x^2 - x^3 + x^4 - x^5 +.... absolute value of this function = 1 + x + x^2 + x^3 + x^4.... = 1/1-x ( geometric series) the integral of that gives us -ln(1-x) + c drawing a blank now. not really sure where to go.