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

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

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

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

diverges

Solution steps

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

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}) = \infty

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

= diverges

x \to 0 lim (\frac{3 x}{cos ( x )})

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

x \to 0 lim (x^{2} (1 - ln (x)))

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

x \to \infty lim (e^{x l n (1 + \frac{3}{2 x})})

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