taylor series common funcs
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Last updated 7:57 PM on 10/14/26
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10 Terms
1
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ex (terms)
ex = 1+ x/1! + x²/2! + x³/3! +…
2
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∞∑n=0 for ex
xⁿ/n!
3
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sin(x) (terms)
sin(x) = x - x³/3! + x⁵/5! - x⁷/7! + …
4
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∞∑n=0 for sin(x)
((-1)ⁿ(x)²ⁿ⁺¹) / ((2n+1)!)
5
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cos(x) (terms)
cos(x) = 1 - x²/2! + x⁴/4! - x⁶/6! + …
6
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∞∑n=0 for cos(x)
((-1)ⁿx(x)²ⁿ) / ((2n)!)
7
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ln(1+x) (terms)
ln(x) = x - x²/2 + x³/3 - x⁴/4 + …
8
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∞∑n=0 for ln(1+x)
((-1)ⁿ⁻¹(xⁿ⁺¹)) / (n+1)
9
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1 / (1-x) (terms)
1 / (1-x) = 1 + x + x² + x³ + …
10
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∞∑n=0 for 1 / (1+x)
xⁿ