The Laplace limit onstant (As defined and well explained in Steve Finch
site on math constants at
http://pauillac.inria.fr/algo/bsolve/lpc/lpc.html), from which this
short note is inspired.

Define f = 


                                    2 1/2
                        x exp((1 + x )   )
                        ------------------ = 1
                                   2 1/2
                         1 + (1 + x )

this is a transcendental equation  and it has a real solution Lambda :
f(Lambda) = 1 and Lambda = 

(to 500 digits) 

.66274341934918158097474209710925290705623354911502241752039253499\
    09718530865112772496548025989581816888697675011506266368274779\
    31855682689256964961805664968076323442091446125996681600749236\
    82270132079260629059381081611520924624492479501995253154057550\
    90509143506702919936902102643981755290795091848902408483329534\
    13345273498315279822028598638811597934371555745995422400968508\
    77494189919579001854710767257334473824660763252238338470374840\
    80758563778757387399954539472144287976380964167543594068889762\
    8



































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