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 -infinity

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

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

- \infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= - \infty

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 -infinity