exp = 1 + x + x2/2 + x^3/3! cos(x)=1-x2/2! + x^4/4! sin(x)=x-x^3/3! ch(x) = 1 + x2/2! + x^4/4! sh(x) = x+x^3/3! (1+x)^a= 1 +ax + a(a-1)x2/2! 1/1-x = 1 + x + x2 + x^3 1/1+x = 1 - x + x2 - x^3 ln(1+x)=x-x2/2+x^3/3 arctan x = x - x^3/3+ x^5/5
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exp = 1 + x + x2/2 + x^3/3! cos(x)=1-x2/2! + x^4/4! sin(x)=x-x^3/3! ch(x) = 1 + x2/2! + x^4/4! sh(x) = x+x^3/3! (1+x)^a= 1 +ax + a(a-1)x2/2! 1/1-x = 1 + x + x2 + x^3 1/1+x = 1 - x + x2 - x^3 ln(1+x)=x-x2/2+x^3/3 arctan x = x - x^3/3+ x^5/5