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

\frac{\partial}{\partial x} (3 x ln (x) y)

\int \frac{x - 8}{x ^{2} + 2} d x

\frac{3 s + 3}{s ^{2} - 9}

16 y^{^{''}} - 24 y^{^{'}} + 9 y = 0

\frac{d ^{2}}{d x ^{2}} (x^{\frac{1}{7}})

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