What is the limit as x approaches 0 of (sqrt(x^2+4x-5)-sqrt(5))/x ?

The limit as x approaches 0 of (sqrt(x^2+4x-5)-sqrt(5))/x is Does not exist

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 0 of (sqrt(x^2+4x-5)-sqrt(5))/x

x \to 0 lim (\frac{x ^{2} + 4 x - 5 - 5}{x})

Does not exist

Solution steps

x \to 0 lim (\frac{x ^{2} + 4 x - 5 - 5}{x})

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

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{x ^{2} + 4 x - 5 - 5}{x}) =

Does not exist

x \to 0 + lim (\frac{x ^{2} + 4 x - 5 - 5}{x}) =

Does not exist

= Does not exist

What is the limit as x approaches 0 of (sqrt(x^2+4x-5)-sqrt(5))/x ?
The limit as x approaches 0 of (sqrt(x^2+4x-5)-sqrt(5))/x is Does not exist