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

The limit as x approaches 3 of (x+2)/(x^2-4) is 1

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

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

1

Solution steps

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

Plug in the value

x = 3

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

Simplify

= 1

x \to 2 lim ((3 x^{2} - 5 x - 5)^{2})

x \to 0 lim (x^{3} - x)

x \to 0 lim (\frac{x + 2 sin ( x )}{x})

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

x \to 0 + lim ((csc (x))^{3 x})

What is the limit as x approaches 3 of (x+2)/(x^2-4) ?
The limit as x approaches 3 of (x+2)/(x^2-4) is 1