What is the limit as x approaches 2 of (3x)/(x^2-4) ?

The limit as x approaches 2 of (3x)/(x^2-4) is diverges

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limit as x approaches 2 of (3x)/(x^2-4)

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

diverges

Solution steps

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

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

= diverges

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

x \to 0 + lim (1 + e^{- \frac{1}{x}})

x \to 0 lim (3 x + 2 + \frac{1}{x ^{2}})

x \to 0 lim (\frac{x - 1}{x + 2})

x \to 2 lim (- \frac{x}{3 sin ( x - 2 )})

What is the limit as x approaches 2 of (3x)/(x^2-4) ?
The limit as x approaches 2 of (3x)/(x^2-4) is diverges