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 diverges

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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})

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 0 lim (\frac{[ x ^{2} ] - x ^{2}}{x ^{2}})

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

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

x \to 1 + lim (\frac{1}{x ^{2} - 3 x + 2})

x \to \infty lim (\frac{x - x ^{4}}{1 - x})

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 diverges