RedAssign14[1].3 - Unit: Sequences and Series Module: Power...

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Unit: Sequences and Series Module: Power Series Representations of Functions Finding Power Series Representations by Integration Copyright 2001, Thinkwell Corp. All Rights Reserved. 1634 –rev 06/15/2001 You can do calculus on a power series inside its interval of convergence. The integral of the power series = 0 () n n n axc is + = + + 1 0 1 n n n C n . You can find the power series of new functions by applying calculus to known power series. Here is a function represented by a geometric power series Replacing x with – x produces a new function and a new power series. This is a definite integral that produces a function, not a value.
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.

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