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

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

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

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is even

a = 1, n = 2

= \infty

y = \frac{3 x ^{5} + 9}{x ^{3}}

\frac{s ^{2} - 1}{( s - 2 ) ^{6}}

\frac{d y}{d x} + 20 y = sin (x)

\frac{d}{d x} (3 arctan (x))

\frac{d ^{3}}{d x ^{3}} ((x^{2} - 1)^{3})

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