I've been trying to puzzle out how to find this limit but I am well and truly stumped. I would really appreciate the help... Find the limit as n goes to infinity of (e^(1/n)+e^(2/n)+e^(3/n)+........+e^(n/n))/n Thanks!
Follow Math Help Forum on Facebook and Google+
Originally Posted by ein I've been trying to puzzle out how to find this limit but I am well and truly stumped. I would really appreciate the help... Find the limit as n goes to infinity of (e^(1/n)+e^(2/n)+e^(3/n)+........+e^(n/n))/n Thanks! HI , If you have learnt a topic called Riemann Sum , I advice to apply it to obtain the limit . If you not or if you feel bored about this method , i suggest solving it in this way : where Since The limit is
Another alternative is to realise that the numerator is a geometric series. Writing it in closed form, i.e. will simplify matters greatly.
View Tag Cloud