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 (x^{2} - \frac{4}{x - 2})

diverges

Solution steps

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

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

= diverges

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

\frac{d y}{d x} = (\frac{y}{x})

\frac{d}{d x} (x^{4} sin (x) sin (3 x))

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

y^{^{'}} = \frac{sin ( x )}{y}

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