What is the limit as x approaches-infinity of 2x^3-x^2-7x+3 ?

The limit as x approaches-infinity of 2x^3-x^2-7x+3 is -infinity

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limit as x approaches-infinity of 2x^3-x^2-7x+3

x \to - \infty lim (2 x^{3} - x^{2} - 7 x + 3)

- \infty

Solution steps

x \to - \infty lim (2 x^{3} - x^{2} - 7 x + 3)

Apply Infinity Property:

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

n is odd

a = 2, n = 3

= - \infty

x \to 1 lim (x^{2} - 5 x)

x \to \infty lim (\frac{( 6 x ^{3} - 5 x + 7 )}{( 3 + x - 3 x ^{2} - 2 x ^{3} )})

x \to 1 lim (x ln ∣ x - 1 ∣)

x \to 1 lim (\frac{3}{( x - 1 ) ^{2}})

x \to - 1 lim (5 x)

What is the limit as x approaches-infinity of 2x^3-x^2-7x+3 ?
The limit as x approaches-infinity of 2x^3-x^2-7x+3 is -infinity