What is the limit as x approaches 0 of 5-(|x|)/x ?

The limit as x approaches 0 of 5-(|x|)/x is diverges

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limit as x approaches 0 of 5-(|x|)/x

x \to 0 lim (5 - \frac{∣ x ∣}{x})

diverges

Solution steps

x \to 0 lim (5 - \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 (5 - \frac{∣ x ∣}{x}) = 4

x \to 0 - lim (5 - \frac{∣ x ∣}{x}) = 6

= diverges

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What is the limit as x approaches 0 of 5-(|x|)/x ?
The limit as x approaches 0 of 5-(|x|)/x is diverges