Given-sequence-real-function-f-n-f-n-0-2-R-with-f-n-x-x-n-1-x-n-n-1-2-3-a-Prove-f-n-not-uniformly-convergent-on-0-2-b-Find-lim-x-f-n-x-x-0-2- Tinku Tara June 4, 2023 Limits 0 Comments FacebookTweetPin Question Number 31708 by gunawan last updated on 13/Mar/18 Givensequencerealfunction(fn),fn:[0,2]→R,withfn(x)=xn1+xn.n=1,2,3,…a.Prove(fn)notuniformlyconvergenton[0,2]b.Findlimx→∞fn(x),x∈[0,2] Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Find-lim-x-k-1-n-1-n-sin-2pi-n-Next Next post: Given-sequence-y-n-with-y-1-1-y-n-1-1-4-y-n-3-y-n-2-1-find-lim-x-y-n- Leave a Reply Cancel replyYour email address will not be published.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.
![Given sequence real function (f_n ) , f_n : [0, 2] → R ,with f_n (x)=(x^n /(1+x^n )) . n=1, 2, 3, ... a.Prove (f_n ) not uniformly convergent on [0, 2] b. Find lim_(x→∞) f_n (x) , x ∈ [0, 2]](https://www.tinkutara.com/question/Q31708.png)