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

The limit as x approaches 0 of sinh(x)cot(x) is 1

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limit as x approaches 0 of sinh(x)cot(x)

x \to 0 lim (sinh (x) cot (x))

1

Solution steps

x \to 0 lim (sinh (x) cot (x))

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

then

x \to a lim f (x) = L

x \to 0 - lim (sinh (x) cot (x)) = 1

x \to 0 + lim (sinh (x) cot (x)) = 1

= 1

What is the limit as x approaches 0 of sinh(x)cot(x) ?
The limit as x approaches 0 of sinh(x)cot(x) is 1