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

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

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

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

\infty

Solution steps

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

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

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

x \to \infty lim ((2.18 \cdot 1 0^{- 3}) (763) (x) - \frac{1}{2} \cdot x)

\int \frac{1}{e ^{y} - 1} d y

\int 2 x (x^{2} + 3)^{20} d x

\frac{d}{d x} (0.8 x^{2} - 3 x + 5 x^{0.2} - 5200)

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