What is the limit as x approaches infinity of 3x^2-1 ?

The limit as x approaches infinity of 3x^2-1 is infinity

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limit as x approaches infinity of 3x^2-1

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

\infty

Solution steps

x \to \infty lim (3 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 = 3, n = 2

= \infty

x \to 4 lim (5 x - 7)

w \to 0 lim (csc (w) - cot (w))

x \to 0 + lim ((x - 2)^{5})

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

x \to 0 + lim (cos (x) \cdot ln (x))

What is the limit as x approaches infinity of 3x^2-1 ?
The limit as x approaches infinity of 3x^2-1 is infinity