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

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

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limit as x approaches-2 of x/(sqrt(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) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

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

Does not exist

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

Does not exist

= Does not exist

\int_{1}^{3} e^{x + 2} d x

\frac{\partial}{\partial t} (6 q (r, t)^{2} + 7 r^{3} - \frac{8}{t} - q (r, t) t)

n = 0 \sum \infty \frac{2}{n ^{2} + 6 n + 8}

(2 x - 5)^{2}

\int - \frac{16}{x ^{17}} d x

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