What is the limit as x approaches 0 of (e^x)/(x^4) ?

The limit as x approaches 0 of (e^x)/(x^4) is infinity

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limit as x approaches 0 of (e^x)/(x^4)

x \to 0 lim (\frac{e ^{x}}{x ^{4}})

\infty

Solution steps

x \to 0 lim (\frac{e ^{x}}{x ^{4}})

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 ^{4}}) = \infty

x \to 0 + lim (\frac{e ^{x}}{x ^{4}}) = \infty

= \infty

x \to 0 lim (ln ((x + 1)^{x}))

x \to - 2 lim (\frac{x ^{2} + 1}{x + 2})

x \to 0 lim ((x^{2} + 1) cos (x))

x \to \frac{π}{4} lim (tan (3 x))

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

What is the limit as x approaches 0 of (e^x)/(x^4) ?
The limit as x approaches 0 of (e^x)/(x^4) is infinity