Hi everybody, I'm having trouble with this problem, if you could help it would be greatly appreciated...
find the Taylor series summation for f(x) = x/((2x+1)(3x-2)) based at 1. Then give an interval where the Taylor series converges.
Thanks in Advanced
You do not need to use the geometric series for this problem.
The form of the taylor series centered at x=1 is
evaluating a few gives us
Take note that if you want to do something cool evaluate the nth derivative at x=1 and we get...
Plugging this into the sum formula for the Taylor Series gives
I hope this helps