text: can you solve this without hopital? without it please? lim (1-(x^2))/sin(pi*x) when x --- > 1  lim ((x^3)*sin(1/x))/(1-cos(x)) when x ---> 0  lim xtan(x) - (pi/2)*sec(x) when x ---> pi/2    lim (sin^4(x))/ (4 - cos(1-cos(x))) when x ---> 0 dear arman! we have answered you 1 day ago! go to this link pls! http://answers.yahoo.com/question/index;_ylt=asjam1c0y3pv_6rpyaoa7ocjzkix?qid=20061122202433aaswjbk