What is the limit as x approaches-infinity of x^2-9 ?

The limit as x approaches-infinity of x^2-9 is infinity

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limit as x approaches-infinity of x^2-9

x \to - \infty lim (x^{2} - 9)

\infty

Solution steps

x \to - \infty lim (x^{2} - 9)

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 - 2 lim (x^{2} + 3 x + 1)

x \to 0 lim (sin (\frac{π}{2}))

x \to - 1 lim (x^{2} - 6)

x \to - 1 lim (x^{2} + a)

x \to \infty lim (\frac{4}{5})

What is the limit as x approaches-infinity of x^2-9 ?
The limit as x approaches-infinity of x^2-9 is infinity