What is the limit as x approaches 2 of (10)/(x^2-4) ?

The limit as x approaches 2 of (10)/(x^2-4) is diverges

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limit as x approaches 2 of (10)/(x^2-4)

x \to 2 lim (\frac{10}{x ^{2} - 4})

diverges

Solution steps

x \to 2 lim (\frac{10}{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{10}{x ^{2} - 4}) = \infty

x \to 2 - lim (\frac{10}{x ^{2} - 4}) = - \infty

= diverges

x \to \infty lim (e^{6 x})

x \to 0 lim (3 x sin (\frac{1}{x}))

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

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

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

What is the limit as x approaches 2 of (10)/(x^2-4) ?
The limit as x approaches 2 of (10)/(x^2-4) is diverges