What is the limit as x approaches-infinity of |x| ?

The limit as x approaches-infinity of |x| is infinity

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limit as x approaches-infinity of |x|

x \to - \infty lim (∣ x ∣)

\infty

Solution steps

x \to - \infty lim (∣ x ∣)

x

is negative when

x \to - \infty

. Therefore

∣ x ∣ = - x

= x \to - \infty lim (- x)

Apply Infinity Property:

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

n is odd

a = - 1, n = 1

= \infty

2 \frac{d y}{d x} + 4 y = - 8 y^{3}

\frac{\partial}{\partial x} (3 (y + 4) (x - 5)^{3})

\frac{d}{d x} (x^{2} 2 x - 5)

\int \frac{1}{2 π} e^{\frac{- x ^{2}}{2}} d x

x \to 0 lim (e^{x^{3}})

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