What is the limit as x approaches 1 of e^{1/(x-1)} ?

The limit as x approaches 1 of e^{1/(x-1)} is diverges

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limit as x approaches 1 of e^{1/(x-1)}

x \to 1 lim (e^{\frac{1}{x - 1}})

diverges

Solution steps

x \to 1 lim (e^{\frac{1}{x - 1}})

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

then the limit does not exist

x \to 1 + lim (e^{\frac{1}{x - 1}}) = \infty

x \to 1 - lim (e^{\frac{1}{x - 1}}) = 0

= diverges

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What is the limit as x approaches 1 of e^{1/(x-1)} ?
The limit as x approaches 1 of e^{1/(x-1)} is diverges