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Unformatted text preview: (a) sin( x ) = a n x n n = 1 ! " (b) 1 1 + x 2 = a n x n n = ! " 4. Determine the first seven terms of the power series for the following functions. Explain how the terms are obtained. (a) 1 + x 7 = a n x n n = ! " (b) tan( x ) = a n x n n = ! " 5. Prove that the Geometric Series converges, x n n = ! " = 1 1 # x , for x < 1 ....
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- Spring '08
- Calculus, #, 1%, following functions, $ 2