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

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

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

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

\frac{1}{4}

Decimal Notation

0.25

Solution steps

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

Plug in the value

x = 2

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

Simplify

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

= \frac{1}{4}

\int \frac{3}{4} + \frac{4}{5} x^{2} - \frac{5}{6} x^{3} d x

5 x + 7 x

\frac{d}{d x} (x^{2} (x^{2} - 4))

\frac{d}{d x} (\frac{3}{5} x^{\frac{5}{3}})

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