What is the limit as x approaches 2 of (x^2-6)/(x-3) ?

The limit as x approaches 2 of (x^2-6)/(x-3) is 2

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limit as x approaches 2 of (x^2-6)/(x-3)

x \to 2 lim (\frac{x ^{2} - 6}{x - 3})

2

Solution steps

x \to 2 lim (\frac{x ^{2} - 6}{x - 3})

Plug in the value

x = 2

= \frac{2 ^{2} - 6}{2 - 3}

Simplify

\frac{2 ^{2} - 6}{2 - 3} : 2

= 2

What is the limit as x approaches 2 of (x^2-6)/(x-3) ?
The limit as x approaches 2 of (x^2-6)/(x-3) is 2