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

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

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

x \to - 1 lim (∣ x - 1 ∣ (x + 1))

0

Solution steps

x \to - 1 lim (∣ x - 1 ∣ (x + 1))

Plug in the value

x = - 1

= ∣ - 1 - 1 ∣ (- 1 + 1)

Simplify

= 0

x \to 5 - lim (\frac{x ^{2} + 7}{x ^{2} - 25})

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

x \to - \frac{π}{2} lim (- 7 x - \frac{π}{2})

x \to 1 lim (\frac{x - 1}{x ^{2} - 8 x + 7})

x \to \infty lim (x \cdot (e^{0 x} - 1))

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