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

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

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

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

\frac{1}{4}

Decimal

0.25

Solution steps

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

Simplify

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

\int \frac{7 x ^{2} + 2 x - 7}{x ^{3} - x} d x

\frac{d y}{d x} + y = y^{2}

\int x \cdot e^{1 - x^{2}} d x

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

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