What is the limit as x approaches infinity of (x^4)/(e^{-6x)} ?

The limit as x approaches infinity of (x^4)/(e^{-6x)} is infinity

Popular >

limit as x approaches infinity of (x^4)/(e^{-6x)}

x \to \infty lim (\frac{x ^{4}}{e ^{- 6 x}})

\infty

Solution steps

x \to \infty lim (\frac{x ^{4}}{e ^{- 6 x}})

Simplify

\frac{x ^{4}}{e ^{- 6 x}} : e^{6 x} x^{4}

= x \to \infty lim (e^{6 x} x^{4})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (e^{6 x}) \cdot x \to \infty lim (x^{4})

x \to \infty lim (e^{6 x}) = \infty

x \to \infty lim (x^{4}) = \infty

= \infty \cdot \infty

Apply Infinity Property:

\infty \infty = \infty

= \infty

y = 2 ln (x), y = 0, x = 3 e

\int_{1}^{- 2} (\frac{1}{2}) d x

\frac{5}{s ^{2} + 5}

f (x) = 1 + 2 x - 3 x^{2}, at x = 0

\frac{d}{d x} (\frac{ln ( 1 - x ^{2} )}{x ^{2}})

What is the limit as x approaches infinity of (x^4)/(e^{-6x)} ?
The limit as x approaches infinity of (x^4)/(e^{-6x)} is infinity