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

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

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

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

\infty

Solution steps

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

= \infty

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x \to \infty lim (\frac{( x e ^{2 x} )}{2})

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