What is the limit as x approaches 1 of (x-1)(x-|x|) ?

The limit as x approaches 1 of (x-1)(x-|x|) is 0

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limit as x approaches 1 of (x-1)(x-|x|)

x \to 1 lim ((x - 1) (x - ∣ x ∣))

0

Solution steps

x \to 1 lim ((x - 1) (x - ∣ x ∣))

Plug in the value

x = 1

= (1 - 1) (1 - ∣ 1 ∣)

Simplify

(1 - 1) (1 - ∣ 1 ∣) : 0

= 0

x \to 6 lim (3 x^{2} + 7 x - 16)

x \to 5 lim (x + 1)

x \to 0 lim (1 - 1 - x^{2})

x \to 2 lim (2 (2.1) + 3)

x \to \frac{π}{2} lim (5 x sin (x))

What is the limit as x approaches 1 of (x-1)(x-|x|) ?
The limit as x approaches 1 of (x-1)(x-|x|) is 0