What is the limit as x approaches-3 of (2x)/(x^2+4) ?

The limit as x approaches-3 of (2x)/(x^2+4) is -6/13

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limit as x approaches-3 of (2x)/(x^2+4)

x \to - 3 lim (\frac{2 x}{x ^{2} + 4})

- \frac{6}{13}

Decimal Notation

- 0.46153 \dots

Solution steps

x \to - 3 lim (\frac{2 x}{x ^{2} + 4})

Plug in the value

x = - 3

= \frac{2 ( - 3 )}{( - 3 ) ^{2} + 4}

Simplify

\frac{2 ( - 3 )}{( - 3 ) ^{2} + 4} : - \frac{6}{13}

= - \frac{6}{13}

x y^{^{'}} - 2 y = 2 x^{2}

y^{^{''}} + y^{^{'}} - 42 y = 0

\int \frac{5 x ^{2}}{( a ^{2} - x ^{2} ) ^{\frac{3}{2}}} d x

f (x) = e^{x}, at x = ln (10)

tan (sin (x^{3}))

What is the limit as x approaches-3 of (2x)/(x^2+4) ?
The limit as x approaches-3 of (2x)/(x^2+4) is -6/13