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The *Rule of Three* and other oddities

WARNING: THIS LAB IS SERIOUSLY INCOMPLETE AT THE MOMENT. I GOT SIDETRACKED INTO WORKING ON SOME OTHER COOL LABS WHEN I REALLY SHOULD HAVE BEEN WORKING ON THIS. I WILL, HOWEVER, ADD TO THIS OVER TIME...

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Finding where two functions intersect

We want to find out where two functions intersect:

Let's start with the graph this time:

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Graphically

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Numerically

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Symbolically

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Taking a limit

We want to take the following limit:

Using the "Rule of three", we want to investigate this numerically, graphically, and symbolically. Let's start with the numbers:

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Numerically

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Graphically

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Symbolically

Converted by *Mathematica*
May 12, 2003