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

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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

x \to 1 lim (x^{c s c (π) x})

x \to 0 lim ((x^{2}) cos (\frac{1}{x}))

u \to 0 lim (cot (u) - csc (u))

x \to 0 lim ((x)^{x^{2}})

x \to \infty lim (- \frac{3}{4} (9 - x^{2})^{\frac{2}{3}})

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