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

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

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

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

\infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = - 3, n = 5

= \infty

h \to + 0 lim (\frac{ln ( e + h ) - 1}{h})

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

z \to 0 lim (\frac{z}{sin ( z )})

x \to - 2 lim ((3 x + 8)^{x + 1})

x \to 0 lim (\frac{x}{∣ x ∣})

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