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

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

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limit as x approaches 2 of (x^2-4)/(2-x)

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

- 4

Solution steps

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

Simplify

\frac{x ^{2} - 4}{2 - x} : - x - 2

= x \to 2 lim (- x - 2)

Plug in the value

x = 2

= - 2 - 2

Simplify

= - 4

\int e^{x} + 9 x d x

\frac{d}{d x} ((x - a)^{2})

\frac{d}{d x} (sin^{2} (x) cot (5 x))

\frac{4 s - 36}{s ^{2} - 8 s + 15}

(0.5) (1)

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