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

The limit as x approaches infinity of-xe^x is -infinity

Popular >

limit as x approaches infinity of-xe^x

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

- \infty

Solution steps

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

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

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

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

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

= - \infty \cdot \infty

Apply Infinity Property:

- \infty \infty = - \infty

= - \infty

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

\frac{d}{d x} (\frac{x ^{2} - 25}{x + 5})

\frac{d}{d x} (x^{4} + \frac{4}{3} x^{3} - 4 x^{2})

\int (- 3 x + 2) e^{- x} d x

x \to 0 lim (\frac{7 e ^{x}}{x ^{5}})

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