02spex2 - MATH 222 SECOND MIDTERM 9:55am10:45am Your Name...

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MATH 222 — SECOND MIDTERM March 11, 2002, 9:55am–10:45am Your Name: Your TA: (circle one) Chris Alfeld Graham Jonaitis Andy Raich Joshua Rushton Fernando Miranda Score 1: 2: 3: 4: 5: Total: 1
2 (1) Show how you can use the integral test to decide whether or not the series k =2 1 k ln k converges.
3 (2) Compute the radius of convergence of the series k =0 k + 1 3 k x 2 k = 1 + 2 3 x 2 + 3 9 x 4 + 4 27 x 6 + · · ·
4 (3) Find the term containing

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