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

- 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{d}{d x} (ln (2 x + 4))

\int ln (u) d u

x \to \infty lim (\frac{x ^{2} + 3}{3 x ^{2} + 1})

\int \frac{2 x ^{3} + x ^{2} - 5}{x - 1} d x

(x^{2} + 1) y^{^{'}} + 5 x (y - 1) = 0, y (0) = 9

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