What is the limit as x approaches 3+of ln(1/((x-3))) ?

The limit as x approaches 3+of ln(1/((x-3))) is infinity

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limit as x approaches 3+of ln(1/((x-3)))

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

\infty

Solution steps

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

Apply the Limit Chain Rule:

\infty

= \infty

x \to \infty lim (\frac{3}{x} - 7)

x \to 2 lim (3^{4 x} e^{2 x})

x \to 0 + lim (\frac{e ^{x}}{x ^{2}})

x \to 2 lim ((x + 1) (x - 3))

x \to 1 lim (x^{2} ln (x))

What is the limit as x approaches 3+of ln(1/((x-3))) ?
The limit as x approaches 3+of ln(1/((x-3))) is infinity