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

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

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

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

- \infty

Solution steps

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

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

2 x + y

x \to 6 - lim (\frac{7}{x - 6})

(4 x^{2} + 3 y^{2}) d x - (2 x y) d y = 0

y = x^{2} - 4

\frac{d}{d x} (4^{- 3} (\frac{2}{x ^{7}} + 3 x)^{4})

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