What is the limit as x approaches infinity of 9x^2-1 ?

The limit as x approaches infinity of 9x^2-1 is infinity

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limit as x approaches infinity of 9x^2-1

x \to \infty lim (9 x^{2} - 1)

\infty

Solution steps

x \to \infty lim (9 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 = 9, n = 2

= \infty

y = \frac{4}{3} x^{3} - 5 x + 4

\frac{d}{d x} (4 x 3 x^{4})

\int \frac{x ^{2}}{( 9 - 25 x ^{2} ) ^{\frac{5}{2}}} d x

\frac{1 - x}{1 + x}

\frac{d}{d x} (\frac{1}{5} e^{x})

What is the limit as x approaches infinity of 9x^2-1 ?
The limit as x approaches infinity of 9x^2-1 is infinity