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

(2 x - 6)^{4} (x^{2} + x + 1)^{5}

\frac{d}{d t} (t - t^{- 1})

2 x^{2} + 7 x^{2} + 4 x

\frac{d}{d x} (7 arcsin (x^{4}))

5 - x^{2}, 4 x^{2}

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