What is the limit as x approaches 3 of (3-x)*ln(x-3) ?

The limit as x approaches 3 of (3-x)*ln(x-3) is Does not exist

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limit as x approaches 3 of (3-x)*ln(x-3)

x \to 3 lim ((3 - x) \cdot ln (x - 3))

Does not exist

Solution steps

x \to 3 lim ((3 - x) ln (x - 3))

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

then the limit does not exist

x \to 3 + lim ((3 - x) ln (x - 3)) = 0

x \to 3 - lim ((3 - x) ln (x - 3)) =

Does not exist

= Does not exist

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

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

x \to 3 lim (\frac{cos ( x ) - 1}{x})

x \to \infty lim ((1 + \frac{1}{x})^{16 x})

x \to 2 lim (x^{4} - 8)

What is the limit as x approaches 3 of (3-x)*ln(x-3) ?
The limit as x approaches 3 of (3-x)*ln(x-3) is Does not exist