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

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

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limit as x approaches infinity of-2x^2

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

- \infty

Solution steps

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

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

x \to 1 lim ((2 x + 1)^{2})

x \to 2 lim (4 x + 1)

x \to 0 lim (\frac{e ^{x}}{x} - \frac{1}{x})

x \to - 3 lim (x + 2)

x \to - 3 lim (x + 5)

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