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Q&A #3707

Teachers' Lounge Discussion: Homework in Calculus BC

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From: amit patel <amit225@hotmail.com>
To: Teacher2Teacher Public Discussion
Date: 2001031811:53:19
Subject: homework in calculus BC

	let f be the function given by f(x)=e^(-2x^2)
a. Find the first four non zero terms and give the general term of the
power series about x=0
b. Find the interval of convergence of the power series for f(x) about
x=0.  Show the analysis which supports your conclusion.
c. Let g be the function given by the sum of the first four nonzero
terms of the power series for f(x) about x=0.  Show that [f(x) - g(x)]
< 0.02 for -0.6 < x <0.6

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