What is the limit as x approaches 2 of e^{1/(x-2)} ?

The limit as x approaches 2 of e^{1/(x-2)} is diverges

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limit as x approaches 2 of e^{1/(x-2)}

x \to 2 lim (e^{\frac{1}{x - 2}})

diverges

Solution steps

x \to 2 lim (e^{\frac{1}{x - 2}})

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

then the limit does not exist

x \to 2 + lim (e^{\frac{1}{x - 2}}) = \infty

x \to 2 - lim (e^{\frac{1}{x - 2}}) = 0

= diverges

x \to 0 lim (x \cdot cot (2 x))

\int \frac{9 - 162 x}{1 - 81 x ^{2}} d x

y = a^{5} + cos^{5} (x)

\frac{d}{d x} (\frac{2 x ^{\frac{5}{2}}}{5})

y = x^{2} - 2 x - 3, (2, - 3)

What is the limit as x approaches 2 of e^{1/(x-2)} ?
The limit as x approaches 2 of e^{1/(x-2)} is diverges