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

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

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

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

- \frac{1}{4}

Decimal Notation

- 0.25

Solution steps

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

Simplify

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

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

Plug in the value

x = 2

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

Simplify

= - \frac{1}{4}

\frac{\partial}{\partial x} (\frac{1}{x + y ^{2}})

\frac{\partial}{\partial y} ((x^{3} - y^{2})^{- 1})

\int (x + 1) 5^{(x + 1)^{2}} d x

\frac{d}{d x} (e^{x} - 3 x^{2})

\frac{d}{d x} (25 + x^{2})

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