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

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

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

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

0

Solution steps

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

x

is positive when

x \to 0 +

. Therefore

∣ x ∣ = x

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

Simplify

= x \to 0 + lim (0)

x \to a lim c = c

= 0

\frac{d y}{d t} = 2 t e^{- y}, y (0) = - 2

y^{^{''}} = 4 y, y (0) = 0, y^{^{'}} (0) = 1

y^{^{'}} = x (x - 1)

(y + x^{3} + x y^{2}) d x - x d y = 0

\int e^{1 - x} x d x

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