- #1
mathusers
- 47
- 0
how could i expand something such as arctan'x into a power series. also how would you be able to find the power series for it?so far i have managed to work out that:
arctan'x = [itex] \frac{1}{1 + x^2} [/itex]
[itex]\frac{1}{1+x^2} = 1 - x^2 + x^4 - x^6 +...+ (- 1)^n x^{2n}[/itex]
how do you work out the radius of convergence though: i know it is : |x|< 1.. but how do you work it out please?
arctan'x = [itex] \frac{1}{1 + x^2} [/itex]
[itex]\frac{1}{1+x^2} = 1 - x^2 + x^4 - x^6 +...+ (- 1)^n x^{2n}[/itex]
how do you work out the radius of convergence though: i know it is : |x|< 1.. but how do you work it out please?
Last edited: