Math 125 Calculus Il Spring 2024 Quiz#9 Name 11.8/11.10 Take-Home Group Members 1. Fill in the table at right using the function f(x) = f and a = 3, and then use this table 0 to answer the following: F(x) F(3) = a. Find the third degree Taylor polynomial b. Find the Taylor series for the function f(x) :%ata =:3: for f(x) :%ata =3 I,= E;rwzu 2. a. Find a power series representation for the function f(x)= % -X Simplify your answer and state the radius of convergence. a X S b. Use your answer to part a. to find a power series representation for g(x)= 1 3. a. Find a power series representation for the function f(x)= T X Simplify your answer and state the radius of convergence. R= b. Use your answer to part a. to find a power series representation for g{x} = ]n(3 +x? } Remember to find C