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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (cos (x) d x)

\int - 4 sin (2 t - \frac{π}{2}) d t

\frac{d}{d x} (\frac{x tan ( x )}{x ^{2} + 1})

f (x) = \frac{1}{2 x + 3}

y^{^{'}} + \frac{2}{x} y = \frac{1}{x ^{2}}

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