What is the limit as x approaches 0 of (e^x-1)/(x^5) ?

The limit as x approaches 0 of (e^x-1)/(x^5) is infinity

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limit as x approaches 0 of (e^x-1)/(x^5)

x \to 0 lim (\frac{e ^{x} - 1}{x ^{5}})

\infty

Solution steps

x \to 0 lim (\frac{e ^{x} - 1}{x ^{5}})

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} - 1}{x ^{5}}) = \infty

x \to 0 + lim (\frac{e ^{x} - 1}{x ^{5}}) = \infty

= \infty

\frac{\partial}{\partial x} (ln (x^{2} + y^{2} + 1))

\frac{\partial}{\partial y} (ln (x + z))

y = 2 x - 4

\frac{d}{d x} (\frac{1}{x ^{2} + 5})

x \to 1 lim (\frac{x ^{5} - 1}{x - 1})

What is the limit as x approaches 0 of (e^x-1)/(x^5) ?
The limit as x approaches 0 of (e^x-1)/(x^5) is infinity