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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 0 lim (\frac{z ^{x} - 1}{x})

x \to 0 lim (x + 4)

\frac{d}{d x} ((x^{- 2} + x^{- 3}) (x^{5} - 9 x^{2}))

\frac{d}{d x} (arctan (1 - 3 x^{2}))

\int 3 sin^{3} (3 x) cos^{3} (3 x) d x

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