What is the limit as x approaches-2 of (x+2)/(x-3) ?

The limit as x approaches-2 of (x+2)/(x-3) is 0

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limit as x approaches-2 of (x+2)/(x-3)

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

0

Solution steps

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

Plug in the value

x = - 2

= \frac{- 2 + 2}{- 2 - 3}

Simplify

\frac{- 2 + 2}{- 2 - 3} : 0

= 0

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

x \to 3 lim (x^{3} - 3 x^{2} + 3 x - 1)

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

x \to \infty lim (- cot (x))

x \to 9 lim (x - 3)

What is the limit as x approaches-2 of (x+2)/(x-3) ?
The limit as x approaches-2 of (x+2)/(x-3) is 0