Math Help - Limit Question

1. Limit Question

Pretty simple question, I guess... When evaluating a limit, my teacher says that if you get 0/0 from substitution that you should continue evaluating using analytical, algebraic or graphical methods, but what about when your substitution leads to an integer or any number over zero. Does this mean that the limit does not exist?

2. If you get 0/0 from your substitution, you most likely have not understood what you are doing. If substitution is to have any value, you must FIRST demonstrate continuity. You must not, therefore, wonder if your result from substitution might imply a discontinuity. Your thinking is backwards.

Please go back and study the definition of a limit.

After that, look up and try to comprehend "Indeterminate Forms".

If you choose to substitute wily-nilly, your existing, finite values are very encouraging, but they are not conclusive.