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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to - 3 lim (3 - x)

x \to 3 lim (2 x^{2} - 4)

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

x \to - 4 lim (3 x + 2)

x \to 0 lim ((1 - 4 x) \frac{1}{x})

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