Consider function f(x)=ln(x+1).
I've found the remainder term Rn(z)=((-1)^n*(1+z)^(-n-1)*x^(n+1))/(n+1)
a) Find an upper bound for the absolute value of the remainder term when x>0 . It may help to remember that z is between x and 0.
b) Use this formula to find how many terms are needed to estimate with an error less than .