Taylor Series at a=0 to Memorize
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8 Terms
1
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1/1-x
x^n --> R=1
2
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ln (1+x)
(-1)^n x^n+1/n+1 --> R=1
3
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arctan(x)
(-1)^n x^2n+1/ 2n+1 --> R=1
4
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e^x
x^n/n!--> infinity
5
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sin (x)
(-1)^n x^2n+1/ (2n+1)! --> R=infinity
6
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Cos(x)
(-1)^n x^2n/(2n)! --> R=infinity
7
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(1+x)^k (binomial series)
k(k-1) (k-2)… (k-n+1) x^n/ n! --> R=infinity , k>0
8
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R=1 (otherwise)
Note 
Flashcards (60)