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

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

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

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

diverges

Solution steps

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

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}{x ^{2} - 4}) = \infty

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

= diverges

x \to 0 + lim (x^{9 s i n (x)})

\frac{1}{x} + ln (x) + cot (2 x)

y^{^{''}} - 4 y^{^{'}} + 4 y = 6 e^{2 x}

x \to 1 lim (x^{2} - 3 x + 2)

\int (8 x - 4) d x

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