Math 106-01: Calculus II: Reading Homework 9.3

1. Finding and Using Taylor Series : what does it mean to find a Taylor series for a function? how can this be done? what is the point of this section?
   
   1. New Series by Substitution : how can we use substitution to find new Taylor series from old?
      
      1. example : how is the substitution to find the series for e^sin(theta) different than that to find e^-x2?
         
   2. New Series by Integration : how can we find new Taylor series by integration?
      
   3. Applications of Taylor series : what (three) applications of Taylor series does the book introduce? why are Taylor series useful in these cases?