sum_riemann
Publié : ven. juil. 19, 2019 7:36 pm
Hello,
I tried to compute the limit of the sum of 1/(sqrt(n)*sqrt(n+k)), where k=1..n, as n->inf. As I understand, this can be done by typingHowever, I obtain 2-2*sqrt(2) which is negative. The actual value of the limit is 2*sqrt(2)-2.
During computation, the following warning was produced:
I tried to compute the limit of the sum of 1/(sqrt(n)*sqrt(n+k)), where k=1..n, as n->inf. As I understand, this can be done by typing
Code : Tout sélectionner
sum_riemann(1/(sqrt(n)*sqrt(n+k)),[n,k])During computation, the following warning was produced:
Code : Tout sélectionner
Warning, choosing root of [1,0,%%%{-2,[1,1]%%%}+%%%{-4,[1,0]%%%},0,%%%{1,[2,2]%%%}] at parameters values [26.265678538,0]