What is the limit as x approaches-infinity of x^8 ?

The limit as x approaches-infinity of x^8 is infinity

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limit as x approaches-infinity of x^8

x \to - \infty lim (x^{8})

\infty

Solution steps

x \to - \infty lim (x^{8})

Apply Infinity Property:

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

n is even

a = 1, n = 8

= \infty

x \to 0 lim (x^{3 x^{2}})

x \to \infty lim (\frac{ln ( e ^{3 x} + x ^{2} )}{x})

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

x \to 0 lim (\frac{x ^{2} + 6 x}{x})

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

What is the limit as x approaches-infinity of x^8 ?
The limit as x approaches-infinity of x^8 is infinity