What is the limit as x approaches infinity of 2x^3-5x-4x^3 ?

The limit as x approaches infinity of 2x^3-5x-4x^3 is -infinity

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limit as x approaches infinity of 2x^3-5x-4x^3

x \to \infty lim (2 x^{3} - 5 x - 4 x^{3})

- \infty

Solution steps

x \to \infty lim (2 x^{3} - 5 x - 4 x^{3})

Apply Infinity Property:

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

n is odd

a = - 2, n = 3

= - \infty

(x - 2)^{\frac{1}{3}}

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What is the limit as x approaches infinity of 2x^3-5x-4x^3 ?
The limit as x approaches infinity of 2x^3-5x-4x^3 is -infinity