FinalExFormulasF11 - You may find the following...

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Unformatted text preview: You may find the following expressions useful. And you may not. But you may use them if they prove useful. “Known” Taylor series (all around x = 0): sin(x) = x − (−1)n x2n+1 x3 + ··· + + ······ 3! (2n + 1)! for all values of x cos(x) = 1 − x2 (−1)n x2n + ··· + + ··· 2! (2n)! for all values of x xn x2 + ··· + + ··· 2! n! for all values of x ex = 1 + x + ln(1 + x) = x − x2 x3 x4 (−1)n+1 xn + − + ··· + + ··· 2 3 4 n (1 + x)p = 1 + px + p(p − 1) 2 p(p − 1)(p − 2) 3 x+ x + ··· 2! 3! for −1 < x < 1 for −1 < x < 1 ...
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This note was uploaded on 01/28/2012 for the course MATH 116 taught by Professor Irena during the Fall '07 term at University of Michigan.

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