Math 106-01: Calculus II: Reading Homework 9.2

1. Convergence of Series : what is the topic of this section? what do we determine that characterizes when a series may be used as an approximation?
   
   1. Power Series : what is a power series? how is one related to Taylor series? what is P_n(x)?
      
      1. series convergence : what does it mean to say that a sequence converges? how is this related to convergence of a series?
         
      2. convergence of cos(x) : does the Taylor series for cos(x) converge? for what values of x?
         
   2. Intervals of Convergence : what is an interval of convergence? how is visible for the graph of ln(x) and its Taylor polynomials about x=1?
      
   3. the Binomial Series : what is the binomial series? does it apply for the function 1/(x+1)?
      
   4. Computing Intervals of Convergence : what is a radius of convergence? what is the ratio test?
      
      1. endpoints : how do we assess convergence at the endpoints of an interval of convergence?
         
      2. alternating series : what is the alternating series test? how is it useful for determining convergence of a Taylor series?