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

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

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limit as x approaches infinity of x^3-3

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

\infty

Solution steps

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

lo g_{2} (n)

\frac{d}{d x} (10 cos (2 x))

\frac{\partial}{\partial x} (2 (x + 1))

\int \frac{9}{x ( x ^{2} + 1 )} d x

\int x^{2} - 2 x + 3 d x

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