Digital Library of Mathematical Functions
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4 Elementary FunctionsHyperbolic Functions

§4.31 Special Values and Limits

Table 4.31.1: Hyperbolic functions: values at multiples of 12π.
z 0 12π π 32π
sinhz 0 0 -
coshz 1 0 -1 0
tanhz 0 0 - 1
cschz - 0
sechz 1 -1 0
cothz 0 0 1
4.31.1 limz0sinhzz=1,
4.31.2 limz0tanhzz=1,
4.31.3 limz0coshz-1z2=12.