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

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

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

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

- \infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = 1, n = 3

= - \infty

x \to - 1 lim ((- 1)^{x} 2^{- x})

x \to 5 - lim (\frac{2 x}{x - 5})

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

x \to \infty lim (- 15)

x \to - 3 lim (x^{4} + 9 x^{2} - 11 x)

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