Common Maclaurin Series
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Good to know to speed up solving. Would recommend using written practice.
Last updated 6:31 PM on 4/1/26
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7 Terms
1
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\frac{1}{1-x}
\sum_{n=0}^{\infty} x^n; x\in(-1,1)
2
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e^x
\sum_{n=0}^{\infty} \frac{x^n}{n!}
3
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\sin{x}
\sum_{n=0}^{\infty} \frac{(-1)^{n}x^{2n+1}}{(2n+1)!}
4
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\cos{x}
\sum_{n=0}^{\infty} \frac{(-1)^{n}x^{2n}}{(2n)!}
5
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\arctan{x}
\sum_{n=0}^{\infty} \frac{(-1)^{n}x^{2n+1}}{2n+1}; x \in [-1,1]
6
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\ln(1-x)
\sum_{n=1}^{\infty} -\frac{x^n}{n}; x \in [-1,1)
7
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\ln(1+x)
\sum_{n=1}^{\infty} \frac{(-1)^{n+1}x^n}{n}; x \in (-1,1]
