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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 3 + lim (\frac{7 x - 5}{x - 3})

x \to 4 lim (\frac{3 x - 1}{x - 4})

x \to 2 lim (3 x^{2} + 5)

x \to \frac{2 π}{3} lim (sin (x))

x \to 0 + lim ((e^{x} + 10)^{5 x})

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