What is the limit as x approaches 5 of (x-5)/(x^2-5) ?

The limit as x approaches 5 of (x-5)/(x^2-5) is 0

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limit as x approaches 5 of (x-5)/(x^2-5)

x \to 5 lim (\frac{x - 5}{x ^{2} - 5})

0

Solution steps

x \to 5 lim (\frac{x - 5}{x ^{2} - 5})

Plug in the value

x = 5

= \frac{5 - 5}{5 ^{2} - 5}

Simplify

= 0

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What is the limit as x approaches 5 of (x-5)/(x^2-5) ?
The limit as x approaches 5 of (x-5)/(x^2-5) is 0