Elementary Functions - 4.17 Special Values and Limits

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
4.17.E1	${\displaystyle{\displaystyle\lim_{z\to 0}\frac{\sin z}{z}=1}}$ \lim_{z\to 0}\frac{\sin@@{z}}{z} = 1		limit((sin(z))/(z), z = 0) = 1	Limit[Divide[Sin[z],z], z -> 0, GenerateConditions->None] == 1	Successful	Successful	-	Successful [Tested: 1]
4.17.E2	${\displaystyle{\displaystyle\lim_{z\to 0}\frac{\tan z}{z}=1}}$ \lim_{z\to 0}\frac{\tan@@{z}}{z} = 1		limit((tan(z))/(z), z = 0) = 1	Limit[Divide[Tan[z],z], z -> 0, GenerateConditions->None] == 1	Successful	Successful	-	Successful [Tested: 1]
4.17.E3	${\displaystyle{\displaystyle\lim_{z\to 0}\frac{1-\cos z}{z^{2}}=\frac{1}{2}}}$ \lim_{z\to 0}\frac{1-\cos@@{z}}{z^{2}} = \frac{1}{2}		limit((1 - cos(z))/((z)^(2)), z = 0) = (1)/(2)	Limit[Divide[1 - Cos[z],(z)^(2)], z -> 0, GenerateConditions->None] == Divide[1,2]	Successful	Successful	-	Successful [Tested: 1]