What is the limit as x approaches 0 of e^{-cot(x)} ?

The limit as x approaches 0 of e^{-cot(x)} is diverges

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limit as x approaches 0 of e^{-cot(x)}

x \to 0 lim (e^{- c o t (x)})

diverges

Solution steps

x \to 0 lim (e^{- c o t (x)})

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

then the limit does not exist

x \to 0 + lim (e^{- c o t (x)}) = 0

x \to 0 - lim (e^{- c o t (x)}) = \infty

= diverges

What is the limit as x approaches 0 of e^{-cot(x)} ?
The limit as x approaches 0 of e^{-cot(x)} is diverges