What is the limit as x approaches-infinity of x^2-1 ?

The limit as x approaches-infinity of x^2-1 is infinity

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limit as x approaches-infinity of x^2-1

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

\infty

Solution steps

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

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

f (x) = \frac{cos ( x )}{1 - sin ( x )}

\int \frac{1}{x} + sec^{2} (x) d x

(x + a) e^{2 x} + b

\frac{\partial}{\partial y} (6 x y - 2 + 10 x^{2} y)

What is the limit as x approaches-infinity of x^2-1 ?
The limit as x approaches-infinity of x^2-1 is infinity