Hiya, i've got to show that the Taylor series for arcsine(x) = x + (x^3/6) + (3x^5/40) +....
I've tried using the general formula where i set it out as a table of derivatives i.e f'(a), f''(a), f'''(a) etc and when a=0 but it doesn't work and i only get x. The rest turns out as 0 for the coeffiecent when i substitute a=0 in to the higher derivatives.
Does anyone have any ideas? Many thanks.