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Unformatted text preview: 9.1 Exploration II: Finding Power Series by Differentiation and Integration 1. Given that 1 / (1 ! x ) is represented by the power series 1 + x + x 2 + + x n + on the interval ( ! 1, 1) , find a power series to represent 1 / (1 ! x ) 2 . Hint: notice that 1 / (1 ! x ) 2 is the derivative of 1 / (1 ! x ) . 2. Given that 1 1 + x = 1 ! x + x 2 ! x 3 + + ( ! x ) n + on the interval ( ! 1, 1) , find a power series to represent ln(1 + x ) . Hint: notice that 1 / (1 + x ) is the derivative of ln(1 + x ) ....
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This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.
 Fall '10
 waldron
 Power Series

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