What is the limit as x approaches 5 of (x^2-4)/(x-2) ?

The limit as x approaches 5 of (x^2-4)/(x-2) is 7

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limit as x approaches 5 of (x^2-4)/(x-2)

x \to 5 lim (\frac{x ^{2} - 4}{x - 2})

7

Solution steps

x \to 5 lim (\frac{x ^{2} - 4}{x - 2})

Plug in the value

x = 5

= \frac{5 ^{2} - 4}{5 - 2}

Simplify

= 7

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

x \to \infty lim (\frac{2}{3 + 4 ^{\frac{1}{x}}})

x \to \infty lim (- 7 x - 4)

x \to 0 lim (e^{x - 1})

x \to 0 lim (\frac{1 - cos ( 7 x )}{1 - cos ( 3 x )})

What is the limit as x approaches 5 of (x^2-4)/(x-2) ?
The limit as x approaches 5 of (x^2-4)/(x-2) is 7