24/04/22 12:32:14.49 6ORmhlLT.net
>>383
s(j) = 1/j^2.0001
Σ[k=1,n] S(k,n) = Σ[j=1,n] j・s(j)
= Σ[j=1, n] 1/j^1.0001
< 1 + Σ[j=2, n] ∫[j-1/2,j+1/2] 1/x^1.0001 dx
= 1 + ∫[3/2, n+1/2] 1/x^1.0001 dx
= 1 + [－10000/x^0.0001 ](x：3/2→n+1/2)
= 1 + 10000{(2/3)＾0.0001 － 1/(n+1/2)^0.0001}
< 1 + 10000・(2/3)^0.0001
= 10000.59454311188
極限値
10000 + γ = 10000.5772156649…