What is the limit as x approaches 2 of 4/(x-2) ?

The limit as x approaches 2 of 4/(x-2) is diverges

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limit as x approaches 2 of 4/(x-2)

x \to 2 lim (\frac{4}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{4}{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{4}{x - 2}) = \infty

x \to 2 - lim (\frac{4}{x - 2}) = - \infty

= diverges

t \to 0 lim (e^{- 2 t})

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

n = 1 \sum \infty ln (\frac{n}{3 n + 1})

\int \frac{3}{x ^{- 1} + 3} d x

2 x^{2} + x + 1

What is the limit as x approaches 2 of 4/(x-2) ?
The limit as x approaches 2 of 4/(x-2) is diverges