What is the limit as x approaches 0+of 1/x-1/(|x|) ?

The limit as x approaches 0+of 1/x-1/(|x|) is 0

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limit as x approaches 0+of 1/x-1/(|x|)

x \to 0 + lim (\frac{1}{x} - \frac{1}{∣ x ∣})

0

Solution steps

x \to 0 + lim (\frac{1}{x} - \frac{1}{∣ x ∣})

x

is positive when

x \to 0 +

. Therefore

∣ x ∣ = x

= x \to 0 + lim (\frac{1}{x} - \frac{1}{x})

Simplify

= x \to 0 + lim (0)

x \to a lim c = c

= 0

\frac{d}{d x} ((1 + e^{x})^{4})

\frac{7 x}{x + 1}

\int cos (x) cos (7 x) d x

\frac{d}{d x} (\frac{- 2 x ^{2} + 2}{( x ^{2} + 1 ) ^{2}})

\frac{d}{d x} (x^{2} 1 - x^{2})

What is the limit as x approaches 0+of 1/x-1/(|x|) ?
The limit as x approaches 0+of 1/x-1/(|x|) is 0