What is the limit as x approaches-infinity of-x^4 ?

The limit as x approaches-infinity of-x^4 is -infinity

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limit as x approaches-infinity of-x^4

x \to - \infty lim (- x^{4})

- \infty

Solution steps

x \to - \infty lim (- x^{4})

Apply Infinity Property:

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

n is even

a = - 1, n = 4

= - \infty

x \to 2 - lim (\frac{1}{x ^{2} - 5 x + 6})

x \to 0 + lim (f_{(x)} (x) (x))

x \to 0 lim (\frac{x ^{3} + 8 x}{3 x})

x \to 5 - lim (\frac{1}{( 5 - x ) ^{2}})

x \to 5 lim (\frac{x ^{3} - 8}{x - 2})

What is the limit as x approaches-infinity of-x^4 ?
The limit as x approaches-infinity of-x^4 is -infinity