What is the limit as x approaches 0 of [1-(|x|)/x ] ?

The limit as x approaches 0 of [1-(|x|)/x ] is diverges

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limit as x approaches 0 of [1-(|x|)/x ]

x \to 0 lim ([1 - \frac{∣ x ∣}{x}])

diverges

Solution steps

x \to 0 lim (1 - \frac{∣ 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 (1 - \frac{∣ x ∣}{x}) = 0

x \to 0 - lim (1 - \frac{∣ x ∣}{x}) = 2

= diverges

x \to 5 lim (\frac{x + 2}{2 x - 4})

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

x \to 0 lim (tan (x) + \frac{π}{4})

x \to 3 lim (3 x + 6)

x \to 0 lim (x + 0.12 (20000))

What is the limit as x approaches 0 of [1-(|x|)/x ] ?
The limit as x approaches 0 of [1-(|x|)/x ] is diverges