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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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 t^{5} ln (t) d t

d er i v a t i v e e^{(e^{(x)} - x)}

t an g e n t f (x) = 2 x^{2} + 3 x, (- 3, 9)

\frac{d}{d x} ((x^{3} - 1)^{4})

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