What is the limit as x approaches infinity of-5x^6-6x^4-x^3+7x ?

The limit as x approaches infinity of-5x^6-6x^4-x^3+7x is -infinity

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limit as x approaches infinity of-5x^6-6x^4-x^3+7x

x \to \infty lim (- 5 x^{6} - 6 x^{4} - x^{3} + 7 x)

- \infty

Solution steps

x \to \infty lim (- 5 x^{6} - 6 x^{4} - x^{3} + 7 x)

Apply Infinity Property:

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

n is even

a = - 5, n = 6

= - \infty

\int \frac{( ln ( x ^{9} ) )}{x} d x

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 12 x + 1)

\frac{1}{5 x ^{2} + 6 x}

\frac{\partial}{\partial x} (16 3 y + 2 x)

\frac{\partial}{\partial x} (x e)

What is the limit as x approaches infinity of-5x^6-6x^4-x^3+7x ?
The limit as x approaches infinity of-5x^6-6x^4-x^3+7x is -infinity