lim-x-sin-x-1-x-sin-x- Tinku Tara June 4, 2023 Limits 0 Comments FacebookTweetPin Question Number 119517 by bemath last updated on 25/Oct/20 limx→∞[sin(x+1x)−sinx]=? Answered by Dwaipayan Shikari last updated on 25/Oct/20 limx→∞(sin(x+1x)−sinx)=limx→∞(2cos(x+12x)sin(1x))=0−1⩽cos(x+12x)⩽1limx→∞sin1x→0 Answered by benjo_mathlover last updated on 25/Oct/20 limx→∞[sinxcos1x+cosxsin1x−sinx]=limx→∞[sinx(cos1x−1)+cosxsin1x][notelimx→∞cos1x−1=0∧limx→∞cosxsin1x=0becausecosxoscilatesbetween−1and1]thuslimx→∞[sinx(cos1x−1)+cosxsin1x]=0 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Differential-Equation-1-x-d-2-y-dx-2-x-dy-dx-xy-1-1-x-x-1-has-the-power-series-solution-for-x-lt-1-Next Next post: Question-185052 Leave a Reply Cancel replyYour email address will not be published.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.