Honors AP Calculus / Mr. Hansen	Name: ____________________
5/21/2010

Another Quiz on Lagrange Error Term

1.	Use Taylor’s Theorem and/or general knowledge/cleverness to find a Taylor series for
2.	Use the result of #1 to determine how many terms are required to guarantee accuracy within .00004 when estimating . Use the Lagrange error bound.
	[The wording of this question was unfortunate. In retrospect, I realize that I should have worded the question as follows: “State the Lagrange error bound for if the series in #1 is used. Assess whether the Lagrange bound is useful in this context, and then determine, preferably by analysis, how many terms are required to guarantee accuracy within .00004 when estimating with the series you found in #1. Experimentation is encouraged but will not qualify for as much credit as analysis.”]