Question

hi evry1.need help with this limit
the limit of (x-lnx) as x tends to infinity.using L'hopital's rule.plz

Answer 1

i don't see any use of l'Hospital. and i think the limit will land up to infinity. check out this graph:

http://www.google.co.in/webhp?sourceid=chrome-instant&ie=UTF-8&ion=1#hl=en&sa=X&ei=yqmET_zlKcHjrAe9mM3mBg&ved=0CCIQBSgA&q=x-ln+x&spell=1&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&fp=1e805ddb10763f91&ion=1&biw=1236&bih=606

Answer 2

thanx .could u plz show me how it leads up to infinity?

Answer 3

in that graph, take the function dot to infinity. (use the zoom out option). you ll see how the function behaves.