What is the limit as x approaches 2-of ((2)|x|)/x-x ?

The limit as x approaches 2-of ((2)|x|)/x-x is 0

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limit as x approaches 2-of ((2)|x|)/x-x

x \to 2 - lim (\frac{( 2 ) ∣ x ∣}{x} - x)

0

Solution steps

x \to 2 - lim (\frac{2 ∣ x ∣}{x} - x)

Plug in the value

x = 2

= \frac{2 ∣ 2 ∣}{2} - 2

Simplify

\frac{2 ∣ 2 ∣}{2} - 2 : 0

= 0

\frac{d}{d x} (, x)

a re a y = 3 x + 2, y = x^{3}

in v erse l a pl a ce \frac{8}{s ^{2} + 8 s}

a re a y = 0, y = x^{3} + 8, [- 3, - 1]

x \to 2 lim (3 x^{2} + 4 x + 10)

What is the limit as x approaches 2-of ((2)|x|)/x-x ?
The limit as x approaches 2-of ((2)|x|)/x-x is 0