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

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

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

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

diverges

Solution steps

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

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

= diverges

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f (x) = x^{3} - 12 x^{2} + 48 x

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