What is the limit as x approaches-2 of (x^2-9)/(2-x) ?

The limit as x approaches-2 of (x^2-9)/(2-x) is -5/4

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limit as x approaches-2 of (x^2-9)/(2-x)

x \to - 2 lim (\frac{x ^{2} - 9}{2 - x})

- \frac{5}{4}

Decimal

- 1.25

Solution steps

x \to - 2 lim (\frac{x ^{2} - 9}{2 - x})

Plug in the value

x = - 2

= \frac{( - 2 ) ^{2} - 9}{2 - ( - 2 )}

Simplify

\frac{( - 2 ) ^{2} - 9}{2 - ( - 2 )} : - \frac{5}{4}

= - \frac{5}{4}

x \to 5 lim ((5 - x)^{x - 5})

x \to 3 - lim (\frac{x - 5}{x ^{2} - 9})

x \to 1 lim (e^{- 4 x})

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

n \to 1 lim (ln (n))

What is the limit as x approaches-2 of (x^2-9)/(2-x) ?
The limit as x approaches-2 of (x^2-9)/(2-x) is -5/4