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Dividing by zero

A division by zero is not allowed. It can however occur in a calculation. If you divide a number by zero you will get two results

That is strange.

 


Explanation

You can approach zero from the positive, then you write x→0+, and you can approach it from the negative, then you write x→0. So you see

       and       

This can have tremendous consequences. Look at the one-sided function

    and      

That is a surprise. We better check this

and

 


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