Originally Posted by

**jiboom** that gives me a series for ln(1+x) and a bound for the error,but im asked to find the error when approximating ln(1+x) by using up to x^n terms in the maclaurin.

(i think this is what im being asked)

so if f(x)=x-x^2/2+....+x^n/2

i need to find the error in using f(x) to approximate ln(1+x)

so i look at ln(1+x)-f(x)

but this is the integral of {u^n/(1+u)} from my first post using

1/(1+x)=1-u+u^2+... and subtracting off 1-u+....U^(n-1)

**maybe im just misunderstanding the question**, but this integral can not be done by high school students.