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

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

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limit as x approaches-infinity of 3x^3

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

- \infty

Solution steps

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

Apply Infinity Property:

x \to - \infty lim (a x^{n} + \dots + b x + c) = - \infty, a > 0,

n is odd

a = 3, n = 3

= - \infty

x \to 1 lim (x^{2} + 3)

x \to - 1 lim (\frac{x ^{2} - 9}{x - 3})

x \to 1 lim (\frac{97 π x}{1 - x})

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

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

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