I'm having trouble getting the power series representation of this function.
(My work and the question are attached)
Any help would be greatly appreciated!
Thanks in advance!
Not necessarily memorized. The important point is that to find the Taylor's series for you don't have to work directly the entire thing. Start by finding the Taylor's series for arctan(x):
arctan(0)= 0.
(That's a very important formula- you should have it memorized!) so (arctan(0))'= 1.
which is 0 at x= 0
etc.