Represent (1+x)/(1-x) as a power series.
The Attempt at a Solution
I started with 1/ (1-x) = sum (x)^n n= 0 - infinity
(1 + x) sum x^n
and this is where I am stuck.
ohh i see it now, thanks you. My class just started this section and I'm kinda new to this. Is there a shortcut of doing this or I have to write out the terms to find power series?
No, if you use the technique I suggested, you get a first term of +1, not -1. Dick's approach and mine yield the same results.I'm very thankful for this tread, as I ran into the same problem as cheater1.
I would like to point out, however, that while with Dick's method the 1st term of the series is 1, with Mark44's the first term appears to be -1. Any help in understanding why this is so would be greatly appreciated.
You are doing the division incorrection. When you divide 1 + x by 1 - x, the first term you get is 1, not -1.