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

The limit as x approaches 0 of (sqrt(x+4))/x is diverges

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limit as x approaches 0 of (sqrt(x+4))/x

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

diverges

Solution steps

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

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

= diverges

x \to 0 - lim (6 (\frac{1}{x} - cot (x)))

x \to 0 lim (x (ln (4) x + 2) \cdot 4^{x - 3})

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

h \to 0 lim (\frac{( a + h ) ^{\frac{2}{3}} - a ^{\frac{2}{3}}}{h})

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

What is the limit as x approaches 0 of (sqrt(x+4))/x ?
The limit as x approaches 0 of (sqrt(x+4))/x is diverges