The reason you find or take a limit is when the values cannot give you an exact answer in an equation.  Then the equation can be graphed, and the limit assumes the value that the function approaches on the graph.  It is an extra step that can be taken to make a graphical analysis to find an approximate answer by looking at a graph.  

You can say that it is a certain value, even though the calculation of the variables in the equation cannot give you an answer.  It is another way of trying to deal with infinity or infinitesimals in of itself.  The main reason why this method isn't used in a lot of work is because it is not known if it has been proven to be reliable, but it has been proven to be reliable when finding the derivative.  Limits can potentially give false values, presumably.  I have never seen any evidence of that.

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Moderator Note

You have already demonstrated very well that you don’t know what you are talking about. I don’t think you need to start a new thread to provide more evidence.