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

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

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

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

\infty

Solution steps

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

f (x) = \frac{2 x + 5}{x + 2} \cdot 2 x - 5

\frac{d y}{d x} = x y + y^{2}

\int \frac{12 x ^{2}}{4 x ^{3} - 6} d x

y^{^{'}} = \frac{( 3 x sec ( \frac{y}{x} ) + y )}{x}

\frac{\partial}{\partial x} (\frac{x ^{2} - 2 y}{4 x ^{2} + 2 y})

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