What is the limit as x approaches 5 of 2/(x-5) ?

The limit as x approaches 5 of 2/(x-5) is diverges

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limit as x approaches 5 of 2/(x-5)

x \to 5 lim (\frac{2}{x - 5})

diverges

Solution steps

x \to 5 lim (\frac{2}{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{2}{x - 5}) = \infty

x \to 5 - lim (\frac{2}{x - 5}) = - \infty

= diverges

\frac{d}{d x} (tan (sin (x)))

\int \frac{1}{x ^{2} 3 x ^{2} + 4} d x

y = 1 n (x^{3})

\frac{\partial}{\partial y} (\frac{x}{x ^{2} + y ^{2} + z ^{2}})

y = 2 + ∣ x - 1 ∣, y = - \frac{1}{5} x + 7

What is the limit as x approaches 5 of 2/(x-5) ?
The limit as x approaches 5 of 2/(x-5) is diverges