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

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

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

x \to 0 + lim (\frac{x}{∣ x ∣})

1

Solution steps

x \to 0 + lim (\frac{x}{∣ x ∣})

x

is positive when

x \to 0 +

. Therefore

∣ x ∣ = x

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

Simplify

= x \to 0 + lim (1)

x \to a lim c = c

= 1

\int_{0}^{1} 2 π (x + 10) (x^{2}) d x

\frac{\partial}{\partial x} (x y e^{x yz})

\int t + 1 d t

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

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