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

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

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

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

diverges

Solution steps

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

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

= diverges

\int \frac{1}{y ^{\frac{1}{3}}} d y

(x - 1) y^{^{'}} + (2 x + 1) y = 0

\frac{d}{d s} (ln (\frac{s - 1}{s ^{2} + 2 s + 5}))

f (x) = x^{2} - x + 2, at x = - 1

9 y^{^{''}} + 18 y^{^{'}} + 17 y = 0

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