Taylor Series to Know
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Last updated 2:04 AM on 10/7/22
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7 Terms
1
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e^x
1+x+x^2/2!+x^3/3!+...+x^n/n!
2
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sin(x)
x-x^3/3!+x^5/5!-x^7/7!+...+(-1)^n(x^2n+1/(2n+1)!)
3
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cos(x)
1-x^2/2!+x^4/4!-x^6/6!+...+(-1)^n(x^2n/(2n)!)
4
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1/(1-x)
1+x+x^2+x^3+...
5
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lnx centered around 1, starts at 1
(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4+...+(-1)^n-1((x+1)^n/n)
6
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general form
f(a)+f'(a)(x-a)+f''(a)/2!*(x-a)^2
7
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sum of a finite series
(a1(1-r^n))/1-r