What is the limit as x approaches 0 of (x^2-4)/(x+2) ?

The limit as x approaches 0 of (x^2-4)/(x+2) is -2

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limit as x approaches 0 of (x^2-4)/(x+2)

x \to 0 lim (\frac{x ^{2} - 4}{x + 2})

- 2

Solution steps

x \to 0 lim (\frac{x ^{2} - 4}{x + 2})

Plug in the value

x = 0

= \frac{0 ^{2} - 4}{0 + 2}

Simplify

\frac{0 ^{2} - 4}{0 + 2} : - 2

= - 2

x \to 4 lim (\frac{2 x}{x ^{2} - 16})

x \to 2 lim (3 x^{2} - 2 x + 6)

x \to 3 lim (ln (4 - x))

x \to 0 + lim ((x)^{2 x})

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

What is the limit as x approaches 0 of (x^2-4)/(x+2) ?
The limit as x approaches 0 of (x^2-4)/(x+2) is -2