If the function f had the following properties: f(2)=1 f'(2)=-3 f''(2)=2 and f'''(x)= (1+x^3)^1/2 for all x>1 , then use a third order Taylor polynomial to approximate f(2.1). How would you solve this?

also another question, the series 4^n+1/3^n is geometric correct? thanks!