What is the limit as x approaches 5 of (6x)/(x-5) ?

The limit as x approaches 5 of (6x)/(x-5) is diverges

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limit as x approaches 5 of (6x)/(x-5)

x \to 5 lim (\frac{6 x}{x - 5})

diverges

Solution steps

x \to 5 lim (\frac{6 x}{x - 5})

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

then the limit does not exist

x \to 5 + lim (\frac{6 x}{x - 5}) = \infty

x \to 5 - lim (\frac{6 x}{x - 5}) = - \infty

= diverges

\int \frac{1}{5 x} d x

\frac{d}{d x} (\frac{1 + cos ( 2 x )}{1 - cos ( 2 x )})

\int x sin (\frac{1}{7} x) d x

\int 40 x^{\frac{3}{2}} - 60 x^{2} d x

\frac{4}{t ^{2}}

What is the limit as x approaches 5 of (6x)/(x-5) ?
The limit as x approaches 5 of (6x)/(x-5) is diverges