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

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

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

x \to 0 lim (\frac{2 ∣ x ∣}{x})

diverges

Solution steps

x \to 0 lim (\frac{2 ∣ x ∣}{x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{2 ∣ x ∣}{x}) = 2

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

= diverges

x \to a lim (x^{2} + x)

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

θ \to 0 lim (\frac{sin ( 5 θ )}{θ})

x \to - 1 lim (x^{7} + 6 x^{2} - 8 x)

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

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