What is the limit as x approaches 0 of (-e^x)/(x^2) ?

The limit as x approaches 0 of (-e^x)/(x^2) is -infinity

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limit as x approaches 0 of (-e^x)/(x^2)

x \to 0 lim (\frac{- e ^{x}}{x ^{2}})

- \infty

Solution steps

x \to 0 lim (\frac{- e ^{x}}{x ^{2}})

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 ^{x}}{x ^{2}}) = - \infty

x \to 0 + lim (\frac{- e ^{x}}{x ^{2}}) = - \infty

= - \infty

x \to - 1 + lim (\frac{∣ x + 1 ∣}{x + 1})

x \to 7 lim (x - 2)

x \to 0 lim (f (a x))

x \to 0 lim (2 - 8 x + 5 x^{2})

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

What is the limit as x approaches 0 of (-e^x)/(x^2) ?
The limit as x approaches 0 of (-e^x)/(x^2) is -infinity