Calc 2 Power Series

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Last updated 9:13 PM on 4/20/26
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6 Terms

1
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1/1-x

1 + x + x2 + x3 +…= Σxⁿ

R=1

2
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ln(1+x)

x - x2/2 + x3/3 - x4/4 +… = Σ(-1)ⁿ-1 xn/n

R=1

3
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arctan(x)

x - x3/3 + x5/5 - x7/7 +… = Σ(-1)n-1 x²n+1/2n+1

R=1

4
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sin(x)

x - x3/3! + x5/5! - x7/7! +…Σ(-1)n(x2n+1)/(2n+1)!

R=∞

5
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cos(x)

x - x2/2! + x4/4! - x6/6! +…Σ(-1)n(x2n)/(2n)!

R=∞

6
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ex

1 + x + (1/2!)x² +…=Σ(1/n!)xⁿ

R=∞