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

f (x) = 7 + 4 x^{2} - 2 x^{3}, (2, 7)

y^{^{'}} = (\frac{2 sin ( x )}{sin ( y )}), y (0) = \frac{π}{2}

\int \frac{x}{( 1 - x ) ^{4}} d x

x \to 3 lim (x^{2} - 2 x)

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

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