Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)

Question

Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)

f(x)= 3/(1+x^2)

sum from n=0 to infinity [?] provided |x| < [?]

Answer 1

The power series for 1/(1+x²) is 1 - x² + x⁴ - x⁶ + x⁸ +....

for |x|<1