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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\frac{\partial}{\partial x} (tan (6 + 2 x^{2} y^{4} z^{2}))

\frac{d}{d x} ((x^{3} + 1) (2 x^{2} + 8 x - 5))

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

\int (e^{2 x} + 1) d x

\int \frac{2 x + 4}{x ^{2} + 4 x + 8} d x

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