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1/(1+x) first four terms
1-x+x²-x³
e^x first four terms
1+x+x²/2!+x³/3!
sin x first four terms
x-(x³/3!)+(x^5/5!)
cosx first four terms
1-(x²/2!)+(x^4/4!)
1/(1+x)
(-1)^n x^n
e^x
x^n / n!
sinx
((-1)^n(x)^(2n+1))/(2n+1)!
cosx
((-1)^n x²n)/(2n)!
