MAT112    Calculus 2    Professor Porter   Sample Test #4  Taylor Series


  1. Determine if the series converges or diverges and specify the relevant test.






  1. Determine if the series converges conditionally, absolutely, or diverges.



  1. Find the radius of convergence.



  1. Give the Maclaurin series for and give the radius of convergence.
  2. Find the first 4 non-zero terms for the Maclaurin series for
  3. Give the Taylor series to n=4 places for  around the center x = 9
  4. Use the result in 6 to approximate the square root of 11.
  5. Evaluate the series: