Question Number 101770 by john santu last updated on 04/Jul/20

lim_(n→∞)  ((1^(13) +2^(13) +3^(13) +4^(13) +...+n^(13) )/n^(14) ) ?

Commented byDwaipayan Shikari last updated on 04/Jul/20

(1/(14))

Commented byjohn santu last updated on 04/Jul/20

yes. n→∞. typo.

Answered by bemath last updated on 05/Jul/20

lim_(n→∞)  (1/n)Σ_(i = 1) ^(13) ((i/n))^(13) = ∫_0 ^1  x^(13)  dx   = (1/(14)) .★