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

The limit as x approaches-1 of sqrt(|x|-x) is square root of 2

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

x \to - 1 lim (∣ x ∣ - x)

2

Decimal Notation

1.41421 \dots

Solution steps

x \to - 1 lim (∣ x ∣ - x)

Plug in the value

x = - 1

= ∣ (- 1) ∣ - (- 1)

Simplify

∣ - 1 ∣ - (- 1) : 2

= 2

y = π x

(2 x + 5) y^{^{'}} + 10 y = 10 (2 x + 5)

n = 0 \sum \infty \frac{3}{5 ^{n}}

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} + 9})

\int (x^{2} - 2 x) d x

What is the limit as x approaches-1 of sqrt(|x|-x) ?
The limit as x approaches-1 of sqrt(|x|-x) is square root of 2