Math 230 Calculus IISummer 2004

EXAM 2

8 problems, 10 points each

Instructions.

1. Show enough work to justify your answers

2. Write the problems in the given order.

3. Don't use calculators for integration.

4. Don't leave until you are sure you've solved all the problems.




  1. Evaluate MATH if it exists.
    MATH

  2. Write a formula for the $n$th term of the sequence MATH


  3. Find the sum of the series MATH
    MATH

  4. Apply the Integral Test to show that the $p$-series MATH diverges.


  5. Test the following series for convergence (including absolute/conditional): MATH
    MATH

  6. Test the following series for convergence (including absolute/conditional): MATH


  7. Test for convergence (including absolute/conditional): MATH
    MATH

  8. Find the radius and the interval of convergence of the series MATH

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