Calculus

Maclaurin Series

Taylor series around zero

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\sin xM4(x)
Terms: 5
sin⁡x\approxx1−x36+⋯\sin x\approxx^{1}-\frac{x^{3}}{6}+\cdots

Maclaurin series = Taylor series at x=0. More terms → wider accuracy range. 1/(1-x) only converges for |x|<1.