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

The limit as x approaches 4 of x/(x^2+4) is 1/5

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

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

\frac{1}{5}

Decimal Notation

0.2

Solution steps

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

Plug in the value

x = 4

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

Simplify

\frac{4}{4 ^{2} + 4} : \frac{1}{5}

= \frac{1}{5}

arctan (3 x)

\int \frac{( 36 - 25 x ^{2} ) ^{\frac{3}{2}}}{x ^{6}} d x

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

sin (5 x) + sin (2) (5 x)

2 x cos (x) - x^{2} sin (x)

What is the limit as x approaches 4 of x/(x^2+4) ?
The limit as x approaches 4 of x/(x^2+4) is 1/5