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

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

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

x \to 0 lim (e^{\frac{∣ x ∣}{x}})

diverges

Solution steps

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

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

= diverges

cos^{2} (x)

(x^{2} - y^{2}) (\frac{d y}{d x}) = 2 x y

\frac{d}{d x} (\frac{sin ( x )}{1 + x ^{2}})

\int sin (π t) cos (π t) d t

\frac{d}{d x} (16 e^{4 x})

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