What is the limit as x approaches 1 of (x^2-4)/(x-2) ?

The limit as x approaches 1 of (x^2-4)/(x-2) is 3

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limit as x approaches 1 of (x^2-4)/(x-2)

x \to 1 lim (\frac{x ^{2} - 4}{x - 2})

3

Solution steps

x \to 1 lim (\frac{x ^{2} - 4}{x - 2})

Plug in the value

x = 1

= \frac{1 ^{2} - 4}{1 - 2}

Simplify

\frac{1 ^{2} - 4}{1 - 2} : 3

= 3

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What is the limit as x approaches 1 of (x^2-4)/(x-2) ?
The limit as x approaches 1 of (x^2-4)/(x-2) is 3