Taylor Series

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7 Terms

1
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1/(1 - x)

\sum_{n=0}^{\infty} x^n

2
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ln(1 - x)

-\sum_{n=0}^{\infty} \frac{x^{n+1}}{n+1}

3
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arctan x

\sum_{n=0}^{\infty} (-1)^n \frac{x^{2n+1}}{2n+1}

4
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e^x

\sum_{n=0}^{\infty} \frac{x^n}{n!}

5
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cos x

\sum_{n=0}^{\infty} (-1)^n \frac{x^{2n}}{(2n)!}

6
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sin x

\sum_{n=0}^{\infty} (-1)^n \frac{x^{2n+1}}{(2n+1)!}

7
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f(x) about a

\sum_{n=0}^{\infty}[\frac{f^{(n)}(a)}{n!}(x-a)^{n}]