What is the limit as x approaches 2 of xln(1-2/x) ?

The limit as x approaches 2 of xln(1-2/x) is Does not exist

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limit as x approaches 2 of xln(1-2/x)

x \to 2 lim (x ln (1 - \frac{2}{x}))

Does not exist

Solution steps

x \to 2 lim (x ln (1 - \frac{2}{x}))

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

then the limit does not exist

x \to 2 + lim (x ln (1 - \frac{2}{x})) = - \infty

x \to 2 - lim (x ln (1 - \frac{2}{x})) =

Does not exist

= Does not exist

x \to 4 lim (\frac{x - 4}{∣ 4 - x ∣})

x \to 0 lim (\frac{x - cos ( x )}{x})

x \to - 3 lim (\frac{3 x + 2}{11 - x})

x \to 1 lim (6 x - 4)

x \to 0 lim (\frac{2 x ^{2} - 5 x}{x})

What is the limit as x approaches 2 of xln(1-2/x) ?
The limit as x approaches 2 of xln(1-2/x) is Does not exist