What is the limit as x approaches 2 of 1/(x-2) ?

The limit as x approaches 2 of 1/(x-2) is diverges

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limit as x approaches 2 of 1/(x-2)

x \to 2 lim (\frac{1}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{1}{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{1}{x - 2}) = \infty

x \to 2 - lim (\frac{1}{x - 2}) = - \infty

= diverges

f (x) = \frac{x}{ln ( x )}

n = 0 \sum \infty \frac{1}{n + 3 ^{n}}

(0.5) (10)

\frac{\partial}{\partial x} (\frac{y ( xxxx - yyyy + 4 xx yy )}{( xx + yy ) ^{2}})

x \to - 7 lim (\frac{x + 6}{x + 7})

What is the limit as x approaches 2 of 1/(x-2) ?
The limit as x approaches 2 of 1/(x-2) is diverges