What is the limit as x approaches 2 of (sqrt(2)+sqrt(x))/(sqrt(2)-\sqrt{x)} ?

The limit as x approaches 2 of (sqrt(2)+sqrt(x))/(sqrt(2)-\sqrt{x)} is diverges

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limit as x approaches 2 of (sqrt(2)+sqrt(x))/(sqrt(2)-\sqrt{x)}

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

y = x^{2} + e^{x} x

x \to 0 lim (\frac{1 - cos ( 7 x )}{x})

11 (t + 1) y^{^{'}} - 9 y = 18 t

y^{^{'}} + \frac{1}{t} y = e^{- t^{2}}, y (1) = 12

\frac{d}{d x} (lo g_{2} ((5 x - 1)^{3}))

What is the limit as x approaches 2 of (sqrt(2)+sqrt(x))/(sqrt(2)-\sqrt{x)} ?
The limit as x approaches 2 of (sqrt(2)+sqrt(x))/(sqrt(2)-\sqrt{x)} is diverges