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

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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