What is the limit as x approaches 0 of e^{(-1/x)} ?

The limit as x approaches 0 of e^{(-1/x)} is diverges

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limit as x approaches 0 of e^{(-1/x)}

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

diverges

Solution steps

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

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

= diverges

x \to π lim (cos (3 x))

x \to 2 - lim (\frac{∣ x + 3 ∣}{x + 3})

\int \frac{e ^{2 x}}{e ^{2 x} + 5} d x

\frac{1 - 2 x}{3 + x}

\frac{d}{d x} (\frac{x ^{5}}{( x ^{2} + 1 ) ( x ^{3} + 4 )})

What is the limit as x approaches 0 of e^{(-1/x)} ?
The limit as x approaches 0 of e^{(-1/x)} is diverges