MATH 1310.03F A **Quiz 6** Thursday, November 2, 2000

NAME:

Student Number: No.Marks

(25 Marks) Discuss the convergence of the following improper integral.

Solution.

1. When *q*=1, . Hence, we have

and . This implies and diverges.

2. When *q*>1, we have
Let . Then

So, we have

Hence,
. The integral
converges.

Thu Nov 2 13:07:16 EST 2000