What is the limit as x approaches 2 of sqrt(x/(x-2)) ?

The limit as x approaches 2 of sqrt(x/(x-2)) is Does not exist

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limit as x approaches 2 of sqrt(x/(x-2))

x \to 2 lim (\frac{x}{x - 2})

Does not exist

Solution steps

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

x \to 2 - lim (\frac{x}{x - 2}) =

Does not exist

= Does not exist

cos (x) + i sin (x)

\int e^{2 x} x d x

\int 9 x^{2} - 24 x - 36 d x

\frac{d}{d x} (cos (1 - 4 x))

f (x) = \frac{3 - ( \frac{1}{x ^{2}} )}{x + 4}

What is the limit as x approaches 2 of sqrt(x/(x-2)) ?
The limit as x approaches 2 of sqrt(x/(x-2)) is Does not exist