next up previous
Next: About this document

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

NAME:

Student Number:tex2html_wrap_inline121 No.tex2html_wrap_inline123Marks tex2html_wrap_inline125


(25 Marks) Evaluate tex2html_wrap_inline127

Solution. (1) Evaluate tex2html_wrap_inline131.

Noting that
displaymath133

we obtain the partial sum
displaymath135

and tex2html_wrap_inline137. Hence, tex2html_wrap_inline139.

(2) Evaluate tex2html_wrap_inline143.

The series tex2html_wrap_inline143 is a geometric series with tex2html_wrap_inline147 and tex2html_wrap_inline149. It follows that
displaymath151

(3) tex2html_wrap_inline155




Kunquan Lan
Thu Nov 16 10:25:09 EST 2000