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

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

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

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

- \infty

Solution steps

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

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

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