MATH 1310.03F A **Quiz 8** Thursday, November 23, 2000

NAME:

Student Number: No.Marks

(25 Marks) Determine convergence or divergence for the series .

Solution.
Let . Then
is continuous since is
continuous on and for . Also,
, so
*f* is
decreasing. Moreover,

Hence, and converges. It follows from the Integral Test that
converges.

Thu Nov 30 12:48:48 EST 2000