What is the limit as x approaches 0+of 4/x-4/(|x|) ?

The limit as x approaches 0+of 4/x-4/(|x|) is 0

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limit as x approaches 0+of 4/x-4/(|x|)

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

0

Solution steps

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

x

is positive when

x \to 0 +

. Therefore

∣ x ∣ = x

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

Simplify

= x \to 0 + lim (0)

x \to a lim c = c

= 0

What is the limit as x approaches 0+of 4/x-4/(|x|) ?
The limit as x approaches 0+of 4/x-4/(|x|) is 0