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

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

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

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

- \infty

Solution steps

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

Apply Infinity Property:

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

n is even

a = - 3, n = 4

= - \infty

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(4 a + 1)^{2}

y^{^{''}} + 4 y^{^{'}} = 10 e^{t}

\frac{d}{d x} (\frac{e ^{4 x} + e ^{- 4 x}}{x})

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