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

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

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

x \to 0 lim (\frac{x + ∣ x ∣}{x})

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (5 x + 7)

y^{^{'}} + 2 t y = 0

x \to 0 lim (\frac{ln ( e + x ) - 1}{x})

t y^{^{'}} = t^{2} - t - 2 y

\frac{d}{d x} (\frac{x ^{3}}{x - 2})

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