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This step is not the source of the fallacy.

This step follows from the previous step, along with the following property of limits:

Any time some term A approaches a non-zero number and another term B approaches zero, the ratio A / B approaches plus or minus infinity, depending on the sign of A, which in this case is negative.

Why don't you go back to the list of steps in the proof and see if you can identify which one is wrong, now that you know it isn't this one?
This page last updated: May 26, 1998
Original Web Site Creator / Mathematical Content Developer: Philip Spencer
Current Network Coordinator and Contact Person: Joel Chan - mathnet@math.toronto.edu

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