Power Series for Elementary Functions
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8 Terms
1
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1/x
(-1)^n * (x-1)^n
2
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1/(1+x)
(-1)^n * x^n
3
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lnx
(-1)^(n-1) * (x-1)^n / n
4
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e^x
x^n / n!
5
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sinx
(-1)^n * x^(2n+1) / (2n+1)!
6
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cosx
(-1)^n * x^(2n) / (2n)!
7
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arctanx
(-1)^n * x^(2n+1) / (2n+1)
8
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arcsinx
(2n)! * x^(2n+1) / (2^n * n!)^2 * (2n+1)
Note 
Flashcards (82)