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

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

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limit as x approaches infinity of-x^4

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

- \infty

Solution steps

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

Apply Infinity Property:

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

n is even

a = - 1, n = 4

= - \infty

\frac{d y}{d x} = \frac{x ^{5} - 2 y}{x}

f (x) = e^{x^{3} + 1}

y = \frac{1}{2 x - 1}

f (x) = \frac{x ^{3} + 5}{x ^{2} + 1}

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