What is the limit as x approaches 2 of 1/(x^2-4) ?

The limit as x approaches 2 of 1/(x^2-4) is diverges

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limit as x approaches 2 of 1/(x^2-4)

x \to 2 lim (\frac{1}{x ^{2} - 4})

diverges

Solution steps

x \to 2 lim (\frac{1}{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{1}{x ^{2} - 4}) = \infty

x \to 2 - lim (\frac{1}{x ^{2} - 4}) = - \infty

= diverges

(x^{2} - 3) (x^{3} - 2 x)

\int_{3}^{9} 1 + x^{4} + 2 x^{2} d x

\int (b - x)^{2} d x

\frac{d}{d x} (18 x^{2})

What is the limit as x approaches 2 of 1/(x^2-4) ?
The limit as x approaches 2 of 1/(x^2-4) is diverges