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

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

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

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

0

Solution steps

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

x

is positive when

x \to 0 +

. Therefore

∣ x ∣ = x

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

Simplify

= x \to 0 + lim (0)

x \to a lim c = c

= 0

y^{^{'}} = \frac{2 y ^{4} + x ^{4}}{x y ^{3}}

\frac{\partial}{\partial x} (2 k^{3} s^{2})

\int \frac{- 2}{x ^{2} - 1} d x

x \to 0 + lim (\frac{x ^{2} - 15}{x})

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

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