What is the limit as x approaches e of (ln(x))/(x-e) ?

The limit as x approaches e of (ln(x))/(x-e) is diverges

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limit as x approaches e of (ln(x))/(x-e)

x \to e lim (\frac{ln ( x )}{x - e})

diverges

Solution steps

x \to e lim (\frac{ln ( x )}{x - e})

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

then the limit does not exist

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

x \to e - lim (\frac{ln ( x )}{x - e}) = - \infty

= diverges

x \to 0 - lim (\frac{1}{x} - csc (x))

θ \to \frac{3 π}{2} lim (sin (tan (cos (θ))))

x \to 0 lim (s g (s, x) n (x))

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

x \to 10 lim (\frac{x ^{3}}{x - 10})

What is the limit as x approaches e of (ln(x))/(x-e) ?
The limit as x approaches e of (ln(x))/(x-e) is diverges