What is the limit as x approaches 2 of (4x)/(x-2) ?

The limit as x approaches 2 of (4x)/(x-2) is diverges

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limit as x approaches 2 of (4x)/(x-2)

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

diverges

Solution steps

x \to 2 lim (\frac{4 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{4 x}{x - 2}) = \infty

x \to 2 - lim (\frac{4 x}{x - 2}) = - \infty

= diverges

x^{2} - 8 x + 9

x^{2} - 2 x + 2, (0, 1)

\int (2 y + 3)^{2} d y

\frac{d}{d t} (e^{- 3 t})

x \to \infty lim (3 x + \frac{1}{2})

What is the limit as x approaches 2 of (4x)/(x-2) ?
The limit as x approaches 2 of (4x)/(x-2) is diverges