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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{\partial}{\partial x} (3 x^{2} \cdot e^{x^{2} y})

cos ((2 x^{2} + 1)^{7})

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

\frac{1}{2 r} + \frac{1}{5 r ^{\frac{4}{5}}}

\int \frac{- x}{1 - 0.5 x} d x

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