Honors AP Calculus / Mr. Hansen 4/17/2003

Name: _________________________

Quiz/Check for Understanding on Chapter 12
Time Limit: 20 minutes

1.	Graded question (approx. 2 minutes).
(a)	Write the Taylor series, expanded about x = 0, for sin 2x.
	sin 2x =
(b)	Is the term “Taylor series” in part (a) correct [circle one]? Yes No Textbooks would use the term __________________ instead of “Taylor series” for the following reason: ___________________________________________
2.	Ungraded question (approx. 3 minutes).
(a)	Without using L’Hôpital’s Rule, explain briefly why sin 2x » 2x when |x| < .01.
(b)	Show that for –1.5 < x < 0, the error when estimating sin 2x by using 5 nonzero terms of your series in #1(a) is always less than .01 in absolute value.
3.	Ungraded question (15 minutes)—show all work on separate sheet.