Elementary Functions - 4.31 Special Values and Limits

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
4.31.E1	${\displaystyle{\displaystyle\lim_{z\to 0}\frac{\sinh z}{z}=1}}$ \lim_{z\to 0}\frac{\sinh@@{z}}{z} = 1		limit((sinh(z))/(z), z = 0) = 1	Limit[Divide[Sinh[z],z], z -> 0, GenerateConditions->None] == 1	Successful	Successful	-	Successful [Tested: 1]
4.31.E2	${\displaystyle{\displaystyle\lim_{z\to 0}\frac{\tanh z}{z}=1}}$ \lim_{z\to 0}\frac{\tanh@@{z}}{z} = 1		limit((tanh(z))/(z), z = 0) = 1	Limit[Divide[Tanh[z],z], z -> 0, GenerateConditions->None] == 1	Successful	Successful	-	Successful [Tested: 1]
4.31.E3	${\displaystyle{\displaystyle\lim_{z\to 0}\frac{\cosh z-1}{z^{2}}=\frac{1}{2}}}$ \lim_{z\to 0}\frac{\cosh@@{z}-1}{z^{2}} = \frac{1}{2}		limit((cosh(z)- 1)/((z)^(2)), z = 0) = (1)/(2)	Limit[Divide[Cosh[z]- 1,(z)^(2)], z -> 0, GenerateConditions->None] == Divide[1,2]	Successful	Successful	-	Successful [Tested: 1]