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

\int x (x + 1) d x

\frac{\partial}{\partial y} (ln (x))

n = 1 \sum \infty 4^{n}

y = 4 x^{2}, (2, 16)

\int_{1}^{10} \frac{1}{x - 6} d x

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