What is the limit as x approaches-2 of (2x-1)/(x+2) ?

The limit as x approaches-2 of (2x-1)/(x+2) is diverges

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limit as x approaches-2 of (2x-1)/(x+2)

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

diverges

Solution steps

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

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

= diverges

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What is the limit as x approaches-2 of (2x-1)/(x+2) ?
The limit as x approaches-2 of (2x-1)/(x+2) is diverges