What is the limit as x approaches 0+of 8/x-8/(|x|) ?

The limit as x approaches 0+of 8/x-8/(|x|) is 0

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limit as x approaches 0+of 8/x-8/(|x|)

x \to 0 + lim (\frac{8}{x} - \frac{8}{∣ x ∣})

0

Solution steps

x \to 0 + lim (\frac{8}{x} - \frac{8}{∣ x ∣})

x

is positive when

x \to 0 +

. Therefore

∣ x ∣ = x

= x \to 0 + lim (\frac{8}{x} - \frac{8}{x})

Simplify

= x \to 0 + lim (0)

x \to a lim c = c

= 0

\frac{d}{d x} (\frac{3 x ^{2}}{x})

\frac{d}{d x} (- 0.4 x^{3})

x \to 0 lim (\frac{5}{4} π - π)

x \to 0 lim (\frac{1}{2 - e ^{\frac{1}{x}}})

t y^{^{'}} + y = t^{3}, y (1) = - 2

What is the limit as x approaches 0+of 8/x-8/(|x|) ?
The limit as x approaches 0+of 8/x-8/(|x|) is 0