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

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

y = x^{2} - 3 x

\int_{0}^{1} sin (π x + \frac{π}{4}) d x

\int cos (2 x) sin (2 x) d x

\frac{d}{d x} (sec (ln (x)))

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