How many term of the MAclaurin series for ln(1+x) do you need to use to estimate ln(1.4) to within 0.001?

I have tried this 10 different ways and I keep getting bigger values.

The MacLaurin series is:

$\displaystyle ln(1+x) = \sum^{\infty}_{n=0} (-1)^n \frac{x^{n+1}}{n+1}$