What is the limit as x approaches infinity of-2x^4 ?

The limit as x approaches infinity of-2x^4 is -infinity

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limit as x approaches infinity of-2x^4

x \to \infty lim (- 2 x^{4})

- \infty

Solution steps

x \to \infty lim (- 2 x^{4})

Apply Infinity Property:

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

n is even

a = - 2, n = 4

= - \infty

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What is the limit as x approaches infinity of-2x^4 ?
The limit as x approaches infinity of-2x^4 is -infinity