What is the limit as x approaches-infinity of-3x^3+5 ?

The limit as x approaches-infinity of-3x^3+5 is infinity

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limit as x approaches-infinity of-3x^3+5

x \to - \infty lim (- 3 x^{3} + 5)

\infty

Solution steps

x \to - \infty lim (- 3 x^{3} + 5)

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

h \to + 0 lim (\frac{h}{h ^{2} - 7 h + 1})

x \to 3 lim (\frac{3 - x}{- x + 3})

x \to 0 lim (f (x) (x^{3} - x))

x \to 4 lim (\frac{x ^{3} - 16 x}{x ^{2} - 4 x})

x \to 0 lim (\frac{x}{x ^{2} - 8 x})

What is the limit as x approaches-infinity of-3x^3+5 ?
The limit as x approaches-infinity of-3x^3+5 is infinity