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

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

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

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

diverges

Solution steps

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

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

= diverges

2 x^{3} - 3

\frac{\partial}{\partial y} (2 y - 2)

\frac{d}{d x} (e^{x} cos (9 x))

\frac{1}{s ^{2} - 4 s + 5}

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

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