What is the limit as x approaches-infinity of-3x^4 ?

The limit as x approaches-infinity of-3x^4 is -infinity

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limit as x approaches-infinity of-3x^4

x \to - \infty lim (- 3 x^{4})

- \infty

Solution steps

x \to - \infty lim (- 3 x^{4})

Apply Infinity Property:

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

n is even

a = - 3, n = 4

= - \infty

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

x \to 0 lim (\frac{x}{ln ( 5 x + 1 )})

x \to 2 lim (\frac{x ^{3} - 2 x ^{2} - 6 x + 12}{x ^{2} + 3 x - 10})

x \to \infty lim (4 e^{- x} + 6 x - 3)

x \to 9 - lim (\frac{x}{x ^{2} - 81})

What is the limit as x approaches-infinity of-3x^4 ?
The limit as x approaches-infinity of-3x^4 is -infinity