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

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

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

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

\infty

Solution steps

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

x \to 1 lim (cos (\frac{π x}{2}))

x \to 0 lim (\frac{sin ^{2} ( 3 x )}{4 x ^{2}})

x \to 0 lim (4 x + 5)

x \to 0 lim (+ (x^{2} ln (x)))

x \to \frac{π}{2} - lim (ln (cos (x)))

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