R = 1/(1+1/(1+2/(1+3/(1+4/(…)))))=(√e)∫[1,∞]e^(-xx/2)dx = √(eπ/2)・erfc(1/√2)= 0.6556795424188

S = Σ[k=1,∞]1/(2k-1)!! =(√e)∫[0,1]e^(-xx/2)dx = √(eπ/2)・erf(1/√2)= 1.4106861346424

辺々たすと

R + S =(√e)∫[0,∞]e^(-xx/2)dx = √(eπ/2)= 2.0663656770612