Input \(F(a, b, c)\):
\[\frac{1}{a + \frac{2}{b + \frac{3}{c + 4}}}\]
Error Function \(\sigma_{F}(a, b, c)\):
\[\sqrt{\frac{\sigma_{a}^{2}}{\left(a + \frac{2}{b + \frac{3}{c + 4}}\right)^{4}} + \frac{4 \sigma_{b}^{2}}{\left(a + \frac{2}{b + \frac{3}{c + 4}}\right)^{4} \left(b + \frac{3}{c + 4}\right)^{4}} + \frac{36 \sigma_{c}^{2}}{\left(a + \frac{2}{b + \frac{3}{c + 4}}\right)^{4} \left(b + \frac{3}{c + 4}\right)^{4} \left(c + 4\right)^{4}}}\]
Numerical Value \(F(a, b, c)\pm \sigma_{F}(a, b, c)\):
\[0.4333333333 \pm 0.03859380108\]