What is the limit as x approaches 6 of x/(6-x) ?

The limit as x approaches 6 of x/(6-x) is diverges

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limit as x approaches 6 of x/(6-x)

x \to 6 lim (\frac{x}{6 - x})

diverges

Solution steps

x \to 6 lim (\frac{x}{6 - x})

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

then the limit does not exist

x \to 6 + lim (\frac{x}{6 - x}) = - \infty

x \to 6 - lim (\frac{x}{6 - x}) = \infty

= diverges

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

ln (1 + x) 0

y = \frac{1}{1 + x ^{2}}

\frac{\partial}{\partial y} (x e^{x y})

\frac{d}{d x} (- \frac{2}{3} x^{3})

What is the limit as x approaches 6 of x/(6-x) ?
The limit as x approaches 6 of x/(6-x) is diverges