Unformatted text preview: 1 1x = âˆž X n =0 x n = 1 + x + x 2 + x 3 + Â·Â·Â· R = 1 e x = âˆž X n =0 x n n ! = 1 + x 1! + x 2 2! + x 3 3! + Â·Â·Â· R = âˆž sin x = âˆž X n =0 (1) n x 2 n +1 (2 n + 1)! = xx 3 3! + x 5 5! Â·Â·Â· R = âˆž cos x = âˆž X n =0 (1) n x 2 n (2 n )! = 1x 2 2! + x 4 4! Â·Â·Â· R = âˆž tan1 x = âˆž X n =0 (1) n x 2 n +1 2 n + 1 = xx 3 3 + x 5 5 Â·Â·Â· R = 1 (1 + x ) k = âˆž X n =0 Â± k n Â² x n = 1 + kx + k ( k1) 2! x 2 + Â·Â·Â· R = 1...
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This note was uploaded on 01/02/2011 for the course MATH 1B taught by Professor Reshetiken during the Spring '08 term at Berkeley.
 Spring '08
 Reshetiken

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