What is the limit as x approaches-infinity of x^2e^{-3x} ?

The limit as x approaches-infinity of x^2e^{-3x} is infinity

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limit as x approaches-infinity of x^2e^{-3x}

x \to - \infty lim (x^{2} e^{- 3 x})

\infty

Solution steps

x \to - \infty lim (x^{2} e^{- 3 x})

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 (x^{2}) \cdot x \to - \infty lim (e^{- 3 x})

x \to - \infty lim (x^{2}) = \infty

x \to - \infty lim (e^{- 3 x}) = \infty

= \infty \cdot \infty

Apply Infinity Property:

\infty \infty = \infty

= \infty

x - e^{x}

\int (x - 1)^{- 2} d x

\frac{\partial}{\partial x} (arccos (\frac{x}{y}))

\int sin^{3} (11 x) cos^{2} (11 x) d x

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

What is the limit as x approaches-infinity of x^2e^{-3x} ?
The limit as x approaches-infinity of x^2e^{-3x} is infinity