What is the limit as x approaches-infinity of 3x^3-4 ?

The limit as x approaches-infinity of 3x^3-4 is -infinity

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limit as x approaches-infinity of 3x^3-4

x \to - \infty lim (3 x^{3} - 4)

- \infty

Solution steps

x \to - \infty lim (3 x^{3} - 4)

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 0 lim (x lo g_{2} (\frac{1}{x}))

x \to 0 + lim ((1 - 7 x)^{\frac{3}{x}})

x \to 0 lim (\frac{1}{x cos ( x )})

x \to 4 lim (ln (x^{3} + 36))

x \to - 5 - lim (x)

What is the limit as x approaches-infinity of 3x^3-4 ?
The limit as x approaches-infinity of 3x^3-4 is -infinity