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Expansions of mathematical functions

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Taylor expansions

no. Description Equation
1 power series, around x=1
2 square root, around x=1
x>-1
2.a coefficients in previous expansion
3 exponential function
4 logarithmic function
convergence: -1<x1
5 sine function
6 cosine function
7 tangent function
convergence: |x|</2

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