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

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

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

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

diverges

Solution steps

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

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

= diverges

t^{2} y^{^{'}} - t = 1 + y + t y

\int \frac{x + 5}{x ^{2} + 4 x + 8} d x

f (x) = e^{3 x}

\frac{t d y}{d t} = y + 5 t^{2} sin (t)

\frac{d}{d x} ((x - 2)^{3} (x^{2} + 9)^{4})

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