# Wrong divergence message for the continued fraction

Bug introduced in 8.0.4 or earlier and fixed in 11.2

Why there is an error message for ContinuedFractionK[k, 1, {k, Infinity}]?

It is well known that, this continued fraction converges to

$$\frac{\sqrt{\frac{2}{e \pi }}}{\text{erfc}\left(\frac{1}{\sqrt{2}}\right)}-1.$$

• In 11.2, ContinuedFractionK[k, 1, {k, Infinity}] is now left unevaluated, without an error message showing up. – J. M. is away Mar 16 '18 at 17:46
• In MMA 11.3 BUG occurs again!!! – Mariusz Iwaniuk Mar 16 '18 at 18:06