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

x \to - 3 lim (\frac{x}{x ^{2} + x - 6})

x \to - 1 lim (- (f (x)))

x \to 10 - lim (ln (9.9))

x \to 3 lim (x (3) - 1)

x \to 2 + lim (e^{\frac{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