What is the limit as x approaches 2 of (x^2+5)/(x-2) ?

The limit as x approaches 2 of (x^2+5)/(x-2) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 2 of (x^2+5)/(x-2)

x \to 2 lim (\frac{x ^{2} + 5}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{x ^{2} + 5}{x - 2})

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

then the limit does not exist

x \to 2 + lim (\frac{x ^{2} + 5}{x - 2}) = \infty

x \to 2 - lim (\frac{x ^{2} + 5}{x - 2}) = - \infty

= diverges

What is the limit as x approaches 2 of (x^2+5)/(x-2) ?
The limit as x approaches 2 of (x^2+5)/(x-2) is diverges