APSC 172 Midterm 2 Terms to know
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9 Terms
1
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Power series of Ln(x+1) [sum from n = 0 to infinity]
(-1)^n * x^n+1/n+1
2
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Power series of arctan(x) [sum from n = 0 to infinity]
(-1)^n * x^2n+1/2n+1
3
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Taylor series coefficient of ex [sum from n = 0 to infinity]
x^n/n!
4
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Taylor series coefficient of cos(x) [sum from n = 0 to infinity]
(-1)^n * x^(2n)/(2n)!
5
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Taylor series coefficient of sin(x) [sum from n = 0 to infinity]
(-1)^n * x^(2n+1)/(2n+1)!
6
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Derivative of Ln(x)
1/x
7
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Derivative of arctan(x)
1/(1+x^2)
8
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Derivative of arcsin(x)
1/root(1-x^2)
9
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Derivative of arccos(x)
-1/root(1-x^2)