What is the limit as x approaches 4 of (x^2-9)/(x-3) ?

The limit as x approaches 4 of (x^2-9)/(x-3) is 7

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limit as x approaches 4 of (x^2-9)/(x-3)

x \to 4 lim (\frac{x ^{2} - 9}{x - 3})

7

Solution steps

x \to 4 lim (\frac{x ^{2} - 9}{x - 3})

Plug in the value

x = 4

= \frac{4 ^{2} - 9}{4 - 3}

Simplify

= 7

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What is the limit as x approaches 4 of (x^2-9)/(x-3) ?
The limit as x approaches 4 of (x^2-9)/(x-3) is 7