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

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

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

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

- 1

Solution steps

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

Plug in the value

x = 1

= \frac{1 ^{2} - 4}{1 + 2}

Simplify

\frac{1 ^{2} - 4}{1 + 2} : - 1

= - 1

x \to 0 lim (ln (sin (∣ x ∣)))

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

x \to - \infty lim (e^{x} - 2)

x \to - 8 - lim (\frac{3 - 4 x}{x + 8})

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

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