The function [itex]f(x)=ln(2−x)[/itex] is represented as a power series in the form:
Find the first five coefficients in the power series.
Basically, this is a problem from my online homework. I did a lot of work to get to my answers, and I feel sort of tired to type up all of it so I'll just show my final result (hopefully you guys don't mind). And if need be to know, I first differentiated f(x), then wrote down the power series for it, then integrated the power series to obtain the power series for the original f(x).
Afterwards, I expanded this power series for the first five terms and wrote down the coefficients:
[itex] (-1/2), (-1/8), (-1/24), (-1/64), (-1/160)[/itex]
I then inputted these numbers into the boxes specified on the web page and I received a message saying that they were wrong. I've checked my work twice, my TI89, and even Wolfram Alpha; I get the same answers from these sources, so can someone tell me what is wrong? Also if someone does have a solution, you do not have to tell me what the actual answers are, just notify me with what I did wrong.