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

x \to - 2 lim (\frac{g ( x )}{x + 2})

x \to 0 + lim (x cot (3 x))

x \to \frac{1}{4} lim (lo g_{2} (2 x))

x \to 0 lim (\frac{2 arcsin ( x )}{3 x})

x \to - 2 lim (x^{2} + 2 x - 15)

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