The fraction continues till infinity as shown in the image :
$\begingroup$
$\endgroup$
2
-
$\begingroup$ MO is not the appropriate setting for this question. You could ask on our sister site MSE, but they will want to know what you have tried. $\endgroup$– LSpiceCommented Feb 26, 2023 at 20:28
-
$\begingroup$ They will also not be happy with a link to an image, when the question should be written out in full on their site. Before you post there, please read math.meta.stackexchange.com/questions/5020/… and math.meta.stackexchange.com/questions/9959/… $\endgroup$– Gerry MyersonCommented Feb 26, 2023 at 20:45
Add a comment
|
2 Answers
$\begingroup$
$\endgroup$
You can find this continued fraction at Sloane's https://oeis.org/A111129
answered Feb 26, 2023 at 20:52
$\begingroup$
$\endgroup$
The limit is $$\dfrac{\sqrt{2/\pi e}}{erfc(1/\sqrt{2})}\;,$$ where $e=2.718...$ and $erfc$ is the complementary error function.
answered Feb 26, 2023 at 20:52