There are three reasons for it.
First. 0.999 + (1/(root2 +1/(root3 +1/(root4 + . . . is 1.8346 into 0.8346.
Second. root3/(root2+root5(root4+. . . . is (9/8) into 0.8346 into 0.8346.
Third. My #PythaShastri mantra and my interpretation of Taylor series (for both general and special theory of relativity) together supports 0.8346. . .
Now look at this.
Wolfram results do not say it is Gauss's constant (G) in both the above cases.
I am indebted to Wolfram Alpha for making me a mathematician of sorts. But why don't they write it as G for above two cases ?
I firmly believe in Gauss and have full faith in Gauss's constant G. Gauss's constant is an undeniable truth of nature and life.
What about you, dear readers ?
(My views - 0.8346 . . . is most certainly important.
I am in India. I do not want to comment on this.
Well when we talk of personality of mathematicians I have the deepest regards for Leonhard Euler. He is my god of sorts.
And I find Niels Henrik Abel as most brilliant. A Diego Maradona of mathematics.)