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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to \frac{π}{2} + lim (x^{2} tan (x))

x \to 0 + lim ((4 x)^{x})

x \to 0 lim (\frac{2 - x - 2 + x}{x})

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

x \to 0 lim (\frac{x}{x ^{4}})

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