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sin(x)
x - x3/3! + x5/5! - x7/7! + …
cos(x)
1 - x2/2! + x4/4! - x6/6! + …
e^x
1 + x + x2/2! + x3/3! + …
1/(1+x)
1 - x + x2 - x3 + …