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Zero and infinite

You should always take care for divisions where zero and infinite are used.

 


Explanation

We use L'Hôpitals rule, and start with

This is a simple calculation. Should it also work with infinite? Let us have a look

That is surprising. What is going on here? We do not say that we found a solution for

   or   

but that we have an answer, if the limit of  is concerned.

 


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