What is the limit as x approaches infinity of-x^5 ?

The limit as x approaches infinity of-x^5 is -infinity

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limit as x approaches infinity of-x^5

x \to \infty lim (- x^{5})

- \infty

Solution steps

x \to \infty lim (- x^{5})

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is odd

a = - 1, n = 5

= - \infty

x \to - 2 lim (x + 7)

x \to 3 lim (- x)

x \to - 1 lim (5 x + 4)

x \to 5 lim (\frac{x - 4}{5 - x})

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

What is the limit as x approaches infinity of-x^5 ?
The limit as x approaches infinity of-x^5 is -infinity