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

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

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limit as x approaches infinity of 9-x^2

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

- \infty

Solution steps

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

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 3 lim (5 x + 8)

x \to 1 lim (\frac{x - 4}{x - 1})

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

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

x \to - 3 - lim (\frac{[ x ] + 1}{∣ x ∣})

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