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

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