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

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

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

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

diverges

Solution steps

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

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}{5 - x}) = - \infty

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

= diverges

\frac{d}{d x} ((1 + \frac{8}{x})^{x})

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

\frac{d y}{d t} + e^{t} y = - 4 e^{t}

x \to 0 + lim (\frac{- 4 x ^{2} - 6 x}{x})

f (x) = \frac{3}{4} x^{8}

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