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

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

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

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

4

Solution steps

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

Simplify

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

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

Plug in the value

x = 2

= 2 + 2

Simplify

= 4

\frac{d}{d x} (\frac{4 x ( 2 x ^{2} + 3 )}{( 1 - 2 x ^{2} ) ^{3}})

\int \frac{3 x + 2}{( x + 5 ) ( x - 2 )} d x

s \to - 8 lim (4 (s) - 2)

\frac{d}{d x} (\frac{2}{x ^{2}} - 5 x)

\frac{d}{d x} (- \frac{9}{( 6 x + 3 ) ^{\frac{3}{2}}})

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