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

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

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

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

1

Solution steps

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

x - 1

is positive when

x \to 1 +

. Therefore

∣ x - 1 ∣ = x - 1

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

Simplify

= x \to 1 + lim (1)

x \to a lim c = c

= 1

\frac{\partial}{\partial x} (\frac{- x}{y ^{2} + x ^{2}})

\int \frac{( x ^{3} - 4 )}{x ^{3} + 2 x ^{2} + 2 x} d x

\frac{d}{d x} (- \frac{cos ( 2 x )}{2})

\int t^{5} ln (t) d t

e^{(e^{(x)} - x)}

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