What is the limit as x approaches 2 of (x+7)/(x^2-4) ?

The limit as x approaches 2 of (x+7)/(x^2-4) is diverges

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limit as x approaches 2 of (x+7)/(x^2-4)

x \to 2 lim (\frac{x + 7}{x ^{2} - 4})

diverges

Solution steps

x \to 2 lim (\frac{x + 7}{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 + 7}{x ^{2} - 4}) = \infty

x \to 2 - lim (\frac{x + 7}{x ^{2} - 4}) = - \infty

= diverges

d er i v a t i v e cos (arcsin (x + 3))

\int x (x - 4) d x

\frac{d}{d x} (arctan (e^{2 x}))

\int arctan (x) d x

y \to \infty lim (\frac{y ^{2} + 2}{5 y - 6})

What is the limit as x approaches 2 of (x+7)/(x^2-4) ?
The limit as x approaches 2 of (x+7)/(x^2-4) is diverges