What is the limit as x approaches infinity of-1^x*x ?

The limit as x approaches infinity of-1^x*x is -infinity

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limit as x approaches infinity of-1^x*x

x \to \infty lim (- 1^{x} \cdot x)

- \infty

Solution steps

x \to \infty lim (- 1^{x} x)

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

= - x \to \infty lim (1^{x} 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 (1^{x}) \cdot x \to \infty lim (x)

x \to \infty lim (1^{x}) = 1

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

= - 1 \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

x \to \infty lim (\frac{100 x ^{4} - 5 x ^{3} + 1}{2 - 2 x ^{2} - 10 x ^{4}})

z \to 0 lim (\frac{z}{z})

x \to 0 lim (x^{3} ln (4 x))

x \to 2 lim (x ln (\frac{x}{x - 2}))

x \to - 2 lim ((\frac{1}{2})^{x})

What is the limit as x approaches infinity of-1^x*x ?
The limit as x approaches infinity of-1^x*x is -infinity