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

The limit as x approaches 2 of (2x)/(x-2) is diverges

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

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

diverges

Solution steps

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

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

= diverges

\int x^{2} 6 x + 4 d x

d er i v a t i v e - \frac{3 x}{2}

\frac{d}{d x} (2 x z (x) cos (sin (x)))

\frac{d x}{d t} = 3 (x^{2} + 1), x (\frac{π}{4}) = 1

d er i v a t i v e f (x) = \frac{2 x - 3}{4 - x}

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