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

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

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

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

\infty

Solution steps

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

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

x \to 0 lim (\frac{2 x + 1}{x})

x \to 0 lim (x + \frac{4}{x})

x \to - 5 lim (\frac{x}{x + 5})

x \to 0 lim (\frac{ln ( cos ( 3 x ) )}{ln ( cos ( 5 x ) )})

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