Taylor McLaurin and Power series Basic terms

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9 Terms

1
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1/x

(-1)^n(x-1)^n

2
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1/(1+x)

(-1)^n(x)^n

3
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ln(x)

(-1)^(n-1)(x-1)^n/n

4
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e^x

x^n/n!

5
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sin x

(-1)^n x^(2n+1)/(2n+1)!

6
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cos x

(-1)^n x^2n/(2n)!

7
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arctan x

(-1)^n x^(2n+1)/(2n+1)

8
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arcsin x

((2n)! x^(2n+1))/((2^n n!)^2 (2n+1))

9
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(1+x)^k

k(k-1)(k-2)…(k-(n-1))x^n/n!