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

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

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

x \to 0 - lim (\frac{2 ∣ x ∣}{x})

- 2

Solution steps

x \to 0 - lim (\frac{2 ∣ x ∣}{x})

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

= x \to 0 - lim (\frac{2 ( - x )}{x})

\frac{2 ( - x )}{x} = - 2

= x \to 0 - lim (- 2)

x \to a lim c = c

= - 2

x \to π lim (3 sin (x + sin (x)))

x \to 0 lim (x^{2} - 3 x + 4)

x \to 0 + lim (3 x cot (2 x))

x \to - 1 lim (3 x^{3} - 9 x^{2} + 5 x)

x \to 0 lim (\frac{tan ( x )}{xx})

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