What is the limit as x approaches 3 of (x-2)/(6-2x) ?

The limit as x approaches 3 of (x-2)/(6-2x) is diverges

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limit as x approaches 3 of (x-2)/(6-2x)

x \to 3 lim (\frac{x - 2}{6 - 2 x})

diverges

Solution steps

x \to 3 lim (\frac{x - 2}{6 - 2 x})

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

then the limit does not exist

x \to 3 + lim (\frac{x - 2}{6 - 2 x}) = - \infty

x \to 3 - lim (\frac{x - 2}{6 - 2 x}) = \infty

= diverges

y = \frac{1}{cos ( \frac{x}{2} )}

\int 216 x^{2} cos (6 x) d x

\frac{\partial}{\partial y} (x^{\frac{2}{3}} y^{\frac{1}{3}})

x \to 3 lim (- \frac{3}{7} x + \frac{4}{11})

x^{2} e^{x} - 2 x e^{x} + 2 e^{x}

What is the limit as x approaches 3 of (x-2)/(6-2x) ?
The limit as x approaches 3 of (x-2)/(6-2x) is diverges