MATH 1310.03F A **Quiz 7** Thursday, November 16, 2000

NAME:

Student Number: No.Marks

(25 Marks) Evaluate

Solution. (1) Evaluate .

Noting that

we obtain the partial sum

and . Hence, .

(2) Evaluate .

The series is a
geometric series with and . It
follows that

(3)

Thu Nov 16 10:25:09 EST 2000