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What is Taylor Series in Mathematical Analysis about?
This document discusses Taylor series expansions for common functions including: 1) The exponential function ex can be written as the sum of x to the power of n over n! as n approaches infinity. 2) The cosine and sine functions can be written as sums of (-1)^n x to the power of 2n over (2n)! and (-1)^n x to the power of 2n+1 over (2n+1)! respectively. 3) Polynomial functions can be written as sums of the nth derivative of the polynomial at 0 multiplied by x to the power of n over n!.
- Author
- jovana92
- Language
- EN