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

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

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

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

2

Solution steps

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

Plug in the value

x = 4

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

Simplify

= 2

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

x \to 0 + lim (5)

x \to 1 lim (x^{3} - x^{2} + x - 1)

x \to 3 lim (\frac{1}{9 - x ^{2}})

x \to \infty lim (6 (x))

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