What is the limit as x approaches 2 of (x^2+3)/(x-2) ?

The limit as x approaches 2 of (x^2+3)/(x-2) is diverges

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limit as x approaches 2 of (x^2+3)/(x-2)

x \to 2 lim (\frac{x ^{2} + 3}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{x ^{2} + 3}{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} + 3}{x - 2}) = \infty

x \to 2 - lim (\frac{x ^{2} + 3}{x - 2}) = - \infty

= diverges

\int (1 + 3 x^{2}) ln (2 x) d x

f (x) = 12 x - 2 x

x \frac{d y}{d x} = 2 y

t^{2} cos (- 2 t)

\int_{0}^{1} \frac{2}{1 + x ^{2}} d x

What is the limit as x approaches 2 of (x^2+3)/(x-2) ?
The limit as x approaches 2 of (x^2+3)/(x-2) is diverges