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 0 - lim (1 - x^{2})

x \to 0 lim ((1 - 4 x)^{\frac{7}{x}})

n = 1 \sum \infty \frac{35}{- 6 ^{n}}

\int sin (\frac{θ}{2}) d θ

y^{^{''}} - 9 y = (x^{2} - 5) sin (3 x)

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