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

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

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

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

\frac{1}{4}

Solution steps

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

Simplify

\frac{2 - x}{4 - x ^{2}} : \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{d}{d x} (x^{3} + 2 x y + y^{2} + z^{2} - 5 x - 4 z)

x \to 9 lim (\frac{81}{9 - x})

x^{2} + \frac{4}{x} - 10

3 x - 4 x^{2}

\int (x^{1.8} + 9 x^{3.5}) d x

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