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
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