What is the limit as x approaches 2 of (|2-x|)/(2-x) ?

The limit as x approaches 2 of (|2-x|)/(2-x) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 2 of (|2-x|)/(2-x)

x \to 2 lim (\frac{∣ 2 - x ∣}{2 - x})

diverges

Solution steps

x \to 2 lim (\frac{∣ 2 - x ∣}{2 - x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 2 + lim (\frac{∣ 2 - x ∣}{2 - x}) = - 1

x \to 2 - lim (\frac{∣ 2 - x ∣}{2 - x}) = 1

= diverges

\int sin (x) csc (x) d x

f (x) = e^{2 x^{2}}

\frac{1}{s ^{2} ( s ^{2} + 4 s + 5 )}

\int sin^{2} (3 x) cos^{3} (3 x) d x

x \to 2 lim (6 - 2 x)

What is the limit as x approaches 2 of (|2-x|)/(2-x) ?
The limit as x approaches 2 of (|2-x|)/(2-x) is diverges