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

e^{x + 1}

- y^{^{'}} + \frac{2 y}{x} = \frac{y ^{2}}{x}

x \to \infty lim (ln (3 x) - ln (x + 7))

\frac{d y}{d t} = 2 y + 3 e^{2 t}

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

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