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

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

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

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = - 5, n = 3

= \infty

\int \frac{3 x ^{3} + 4 x}{( x ^{2} + 5 ) ^{2}} d x

\int \frac{3 x ^{4} - 2 x + 5}{x + 1} d x

\frac{d}{d x} (A x)

\frac{d}{d y} (1 - x y cos (π y))

\frac{x ^{2}}{40}

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