What is the limit as x approaches-infinity of x^2ex ?

The limit as x approaches-infinity of x^2ex is -infinity

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limit as x approaches-infinity of x^2ex

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

- \infty

Solution steps

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

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

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

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

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

x \to - \infty lim (x) = - \infty

= e \cdot \infty \cdot (- \infty)

Apply Infinity Property:

e \infty (- \infty) = - \infty

= - \infty

\frac{\partial}{\partial y} (4 - x^{2} - 2 y^{2})

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

x \to 0 lim ((x + \frac{1}{x}) \cdot e^{- \frac{1}{x ^{2}}})

y = 4 x^{2} - 3

x \to 0 lim (\frac{( 9 x ^{2} - 2 x )}{x})

What is the limit as x approaches-infinity of x^2ex ?
The limit as x approaches-infinity of x^2ex is -infinity