What is the limit as x approaches 2 of log_{4}(x-2) ?

The limit as x approaches 2 of log_{4}(x-2) is Does not exist

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limit as x approaches 2 of log_{4}(x-2)

x \to 2 lim (lo g_{4} (x - 2))

Does not exist

Solution steps

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

x \to 2 - lim (lo g_{4} (x - 2)) =

Does not exist

= Does not exist

\frac{d y}{d x} + 3 x^{2} y = x^{2}

\frac{d y}{d x} = 10 x e^{5 y}

f (x) = \frac{2}{x}

\frac{d}{d x} (sin^{3} (4 x^{2} - 1))

x \to \frac{π}{2} lim (ln (sin (x)))

What is the limit as x approaches 2 of log_{4}(x-2) ?
The limit as x approaches 2 of log_{4}(x-2) is Does not exist