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

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

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

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

- \infty

Solution steps

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

Apply Infinity Property:

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

n is odd

a = - 1, n = 3

= - \infty

f (x) = \frac{4}{1 - 2 x ^{2}}

\int \frac{e ^{- 5 x}}{x} d x

\int_{1}^{100} \frac{33}{x ^{3}} d x

y^{^{''''}} + 6 y^{^{''}} + 9 y = 0

d y - (\frac{y}{x} + \frac{x}{y}) d x = 0

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