What is the limit as h approaches 0 of (sinh(x))/h ?

The limit as h approaches 0 of (sinh(x))/h is diverges

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limit as h approaches 0 of (sinh(x))/h

h \to 0 lim (\frac{sinh ( x )}{h})

diverges

Solution steps

h \to 0 lim (\frac{sinh ( x )}{h})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

h \to 0 + lim (\frac{sinh ( x )}{h}) = \infty

h \to 0 - lim (\frac{sinh ( x )}{h}) = - \infty

= diverges

What is the limit as h approaches 0 of (sinh(x))/h ?
The limit as h approaches 0 of (sinh(x))/h is diverges