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

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

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limit as n approaches infinity of n^2-1

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

\infty

Solution steps

n \to \infty lim (n^{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 \to - 4 - lim (x^{2} - 16)

x \to 3 lim (cos (3 x))

x \to 3 + lim (7 - 2 x)

x \to 0 - lim (\frac{( ∣ x ∣ )}{x})

x \to \infty lim (1. 5^{x})

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