What is the limit as x approaches+4 of (4-x)/(|4-x|) ?

The limit as x approaches+4 of (4-x)/(|4-x|) is diverges

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limit as x approaches+4 of (4-x)/(|4-x|)

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

diverges

Solution steps

x \to 4 lim (\frac{4 - x}{∣ 4 - x ∣})

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

then the limit does not exist

x \to 4 + lim (\frac{4 - x}{∣ 4 - x ∣}) = - 1

x \to 4 - lim (\frac{4 - x}{∣ 4 - x ∣}) = 1

= diverges

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What is the limit as x approaches+4 of (4-x)/(|4-x|) ?
The limit as x approaches+4 of (4-x)/(|4-x|) is diverges