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

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

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

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = - 3, n = 3

= \infty

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