222exam2formulapagefa10 - x ) , ln(1 + x ) = x-x 2 2 + x 3...

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MA 222 - FORMULAS Taylor Series: f ( x ) = f ( c ) + f 0 ( c )( x - c ) + f 00 ( c ) 2! ( x - c ) 2 + ... + f ( n ) ( c ) n ! ( x - c ) n + ... Maclaurin Series: f ( x ) = f (0) + f 0 (0) x + f 00 (0) 2! x 2 + f 000 (0) 3! x 3 + ... + f ( n ) (0) n ! x n + ... Examples: e x = 1 + x + x 2 2! + x 3 3! + x 4 4! + ... (for all x ) , sin x = x - x 3 3! + x 5 5! - ... (for all
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Unformatted text preview: x ) , ln(1 + x ) = x-x 2 2 + x 3 3-x 4 4 + ... (-1 < x 1) , cos x = 1-x 2 2! + x 4 4!-... (for all x ) 1...
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This document was uploaded on 01/19/2012.

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