Let f(x)= sum [(3^(n) + cos(n))/n!]X^n

1. Prove that for every x in [-10,10] the sum converges

2. Show that for every E >0 there's an N independant of x in [-10,10] such that

|f(x) - sum [(3^(n) + cos(n))/n!]X^n | < E

3. Use 2 together with the fact that polynomials are contiuous everywhere to show that f is continuous in [-10,10]

ratio test for part 1, not sure how to fully show it

2 I'm not sure what to do here

the sum in part two is from 0 to N