Consider this related case: if you evaluate a limit and you get 0/0 What do you mean by "getting 0/0" in the process of evaluating limits? The issue is not th

Consider this related case: if you evaluate a limit and you get 0/0 What do you mean by "getting 0/0" in the process of evaluating limits? The issue is not the continuity of x/x; the issue is whether setting a convention for 0/0 would give you the right value for a limit. Please, tell me - what is the relation between lim f(a_n) and f(lim a_n) ?