calculus

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use the power series to estimate the series:
from 0 to 4 of ln(1+x)dx with absolute value of the error less than .0001/ Give your estimate of the integral as well as a bound on the error.

I found the 'terms' in the series to be:
x-(1/2)x^2+(1/3)x^3-(1/4)x^4......
with a radius of convergence of 1

I found when I plugged in 0, I got 0
how do I find the error less than .0001?

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