Can-you-solve-this-problem-lim-x-log-x-3-log-x-3-log-x-2-log-x-2- Tinku Tara June 3, 2023 Limits 0 Comments FacebookTweetPin Question Number 8964 by Joel575 last updated on 08/Nov/16 Canyousolvethisproblem?limx→∞log(x3+(logx)3)log(x2+(logx)2) Commented by sou1618 last updated on 08/Nov/16 L=limx→∞log(x3+(logx)3)log(x2+(logx)2)L=limx→∞log{(1+(logxx)3)x3}log{(1+(logxx)2)x2}L=limx→∞log(1+(logxx)3)+3logxlog(1+(logxx)2)+2logxlimx→∞logxx=0limx→∞log(1+(logxx)[2,3])=log(1)=0L=limx→∞3logx2logxL=32 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: decompose-inside-C-x-the-fraction-f-x-1-x-2-1-n-Next Next post: let-P-x-1-n-x-2-1-n-calculate-P-n-x-and-P-n-0- Leave a Reply Cancel replyYour email address will not be published.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.
![L=lim_(x→∞) ((log(x^3 +(logx)^3 ))/(log(x^2 +(logx)^2 ))) L=lim_(x→∞) ((log{(1+(((logx)/x))^3 )x^3 })/(log{(1+(((logx)/x))^2 )x^2 })) L=lim_(x→∞) ((log(1+(((logx)/x))^3 )+3logx)/(log(1+(((logx)/x))^2 )+2logx)) lim_(x→∞) ((logx)/x)=0 lim_(x→∞) log(1+(((logx)/x))^([2,3]) )=log(1)=0 L=lim_(x→∞) ((3logx)/(2logx)) L=(3/2)](https://www.tinkutara.com/question/Q8966.png)