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

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

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limit as x approaches infinity-of x^3

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

\infty

Solution steps

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

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 2 lim (4 x^{2} + 4 x + 1)

x \to 2 lim (\frac{x ^{2} + 3}{x})

x \to \infty lim (- 5 \cdot x)

x \to 2 π lim (\frac{x}{sin ( x )})

x \to 0 lim (\frac{x ^{3}}{x})

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