let-f-n-x-with-f-n-x-sin-nx-n-2-n-1-and-S-its-sum-x-pi-pi-prove-that-x-y-pi-pi-2-x-y-S-x-S-y-lt-x-y- Tinku Tara June 4, 2023 Relation and Functions 0 Comments FacebookTweetPin Question Number 33701 by math khazana by abdo last updated on 22/Apr/18 letΣfn(x)withfn(x)=sin(nx)n2(n+1)andSitssumx∈[−π,π]provethat∀(x,y)∈[−π,π]2x≠y⇒∣S(x)−S(y)∣<∣x−y∣. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: calculate-lim-n-k-1-n-kn-k-2-n-2-Next Next post: let-p-x-a-0-a-1-x-a-2-x-2-a-n-x-n-prove-that-a-k-p-k-0-k-k-0-n- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.
![let Σ f_n (x) with f_n (x) = ((sin(nx))/(n^2 (n+1))) and S its sum x∈[−π,π] prove that ∀(x,y)∈[−π,π]^2 x≠y ⇒∣S(x)−S(y)∣<∣x−y∣ .](https://www.tinkutara.com/question/Q33701.png)