let-u-n-1-1-2-1-3-1-n-prove-that-u-n-is-divdrgente- Tinku Tara June 4, 2023 Relation and Functions 0 Comments FacebookTweetPin Question Number 57412 by Abdo msup. last updated on 03/Apr/19 letun=1+12+13+…+1nprovethat(un)isdivdrgente. Commented by maxmathsup by imad last updated on 07/Apr/19 letf(x)=x∃c∈]k,k+1[/f(k+1)−f(k)=(k+1−k)f′(c)⇒k+1−k=12cwehavek<c<k+1⇒k<c<k+1⇒12c<12k⇒12k>k+1−k⇒∑k=1n1k>2∑k=1n{k+1−k)⇒Un>2{n+1−1}→+∞(n→+∞)⇒Undivergesandlimn→+∞Un=+∞. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: find-lim-x-1-sin-x-5-x-2-x-1-Next Next post: prove-that-ln-1-x-gt-arctanx-1-x-x-gt-0- Leave a Reply Cancel replyYour email address will not be published.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.