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

x \to 6 lim (r (x))

x \to - 1 lim (\frac{x + 1}{x ^{4} - 1})

x \to \frac{1}{8} lim (\frac{1}{x} + x^{1})

x \to 0 lim (\frac{4 ^{x} - 1}{5 x})

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

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