11.11.2011, 12:55
Oh there was some naming error in the series, should be like this:
n (or the k you asked for) has no special meaning here. Its just some value!=infinity so you can really calculate with it. If it was infinite the result would be 100% accurate, but for computers low limits are enough.
R(x) is some rest that defines the difference between the series and the real value of ln(x). As it cant be calculated you can simply igonre it, it is just used for theoretical needs. The higher you choose the n, the lower R(x) gets, so the more precise the result gets. So for n->infinity r(x) would be 0.
n (or the k you asked for) has no special meaning here. Its just some value!=infinity so you can really calculate with it. If it was infinite the result would be 100% accurate, but for computers low limits are enough.
R(x) is some rest that defines the difference between the series and the real value of ln(x). As it cant be calculated you can simply igonre it, it is just used for theoretical needs. The higher you choose the n, the lower R(x) gets, so the more precise the result gets. So for n->infinity r(x) would be 0.