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

The limit as v approaches 4+of (4-v)/(|4-v|) is -1

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

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

- 1

Solution steps

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

4 - v

is negative when

v \to 4 +

. Therefore

∣ 4 - v ∣ = - 4 + v

= v \to 4 + lim (\frac{4 - v}{- 4 + v})

\frac{4 - v}{- 4 + v} = - 1

= v \to 4 + lim (- 1)

x \to a lim c = c

= - 1

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What is the limit as v approaches 4+of (4-v)/(|4-v|) ?
The limit as v approaches 4+of (4-v)/(|4-v|) is -1