What is the limit as x approaches 2 of (6x)/(x-2) ?

The limit as x approaches 2 of (6x)/(x-2) is diverges

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limit as x approaches 2 of (6x)/(x-2)

x \to 2 lim (\frac{6 x}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{6 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{6 x}{x - 2}) = \infty

x \to 2 - lim (\frac{6 x}{x - 2}) = - \infty

= diverges

f (x) = 11 sin (x), at x = \frac{( 3 π )}{4}

\int_{1}^{4} \frac{( 2 x + 1 )}{2 x} d x

\int sin (2 x) (3 - cos (2 x))^{2} d x

x \to 2 lim (\frac{1}{x ^{2} - 4 x + 4})

\frac{5}{s} - \frac{5}{s} e^{- 5 s}

What is the limit as x approaches 2 of (6x)/(x-2) ?
The limit as x approaches 2 of (6x)/(x-2) is diverges