What is the limit as x approaches 4-of (|x-4|)/(x-4) ?

The limit as x approaches 4-of (|x-4|)/(x-4) is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 4-of (|x-4|)/(x-4)

x \to 4 - lim (\frac{∣ x - 4 ∣}{x - 4})

- 1

Solution steps

x \to 4 - lim (\frac{∣ x - 4 ∣}{x - 4})

x - 4

is negative when

x \to 4 -

. Therefore

∣ x - 4 ∣ = - x + 4

= x \to 4 - lim (\frac{- x + 4}{x - 4})

\frac{- x + 4}{x - 4} = - 1

= x \to 4 - lim (- 1)

x \to a lim c = c

= - 1

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

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

\int x a e^{- a x} d x

y^{^{'}} + 3 t y = t, y (0) = 1

\int \frac{9}{x ( ln ( x ) ) ^{2}} d x

What is the limit as x approaches 4-of (|x-4|)/(x-4) ?
The limit as x approaches 4-of (|x-4|)/(x-4) is -1