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 (\frac{1}{1 - e ^{\frac{x}{x - 1}}})

x \to 5 lim (\frac{8}{x - 5})

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

x \to 0 lim (sec^{2} (x) - 1)

x \to - 2 lim (x^{2} - x - 6)

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