Hey, I need help with this exercise:

Exercise 3.2 a) Determine if the function f : R -> R defined as 2 for * E (-oo, 0) f (20) = for a E [0, 0o) is analytical og if yes, find its Taylor series. b) Determine if the function g: R - R defined as g(2) = / sin(t2) dt o is analytical og if yes, find its Taylor series