What is the limit as x approaches 5 of 4/(x-5) ?

The limit as x approaches 5 of 4/(x-5) is diverges

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limit as x approaches 5 of 4/(x-5)

x \to 5 lim (\frac{4}{x - 5})

diverges

Solution steps

x \to 5 lim (\frac{4}{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{4}{x - 5}) = \infty

x \to 5 - lim (\frac{4}{x - 5}) = - \infty

= diverges

\frac{s ^{3} + 5 s ^{2} + 9 s + 7}{( s + 1 ) \cdot ( s + 2 )}

\frac{( x ^{2} - 6 ) ^{3}}{x ^{2} + 2}

f (x) = 3 + \frac{1}{x ^{2}}

\int cos (2 x) - sin (x) d x

\frac{2 s}{( s ^{2} + 25 )}

What is the limit as x approaches 5 of 4/(x-5) ?
The limit as x approaches 5 of 4/(x-5) is diverges