What is the limit as x approaches 0 of 5(x-3)ln(x-3) ?

The limit as x approaches 0 of 5(x-3)ln(x-3) is Does not exist

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limit as x approaches 0 of 5(x-3)ln(x-3)

x \to 0 lim (5 (x - 3) ln (x - 3))

Does not exist

Solution steps

x \to 0 lim (5 (x - 3) ln (x - 3))

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

then

x \to a lim f (x) = L

x \to 0 - lim (5 (x - 3) ln (x - 3)) =

Does not exist

x \to 0 + lim (5 (x - 3) ln (x - 3)) =

Does not exist

= Does not exist

\int_{- \infty}^{0} \frac{x}{1 + x ^{2}} d x

\frac{d}{d x} (\frac{x ^{2}}{x ^{2}})

- \frac{3}{x}

\int \frac{x + 4}{( x ^{2} + 8 x - 7 ) ^{2}} d x

What is the limit as x approaches 0 of 5(x-3)ln(x-3) ?
The limit as x approaches 0 of 5(x-3)ln(x-3) is Does not exist