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Topic: new new math limit
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Joshua Zucker

Posts: 710
Registered: 12/4/04
new new math limit
Posted: Sep 14, 1998 2:03 PM
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I agree that there is a problem with saying "find the limit using a
table".
You can certainly agree on a "most sensible guess" of the limit from a
table of function values but you can't actually *find* a limit that
way ... you could make another function that has those same values at
each point of the table but has any value you want for the limit at
the desired point (or, even, an undefined limit).

Finding a limit using a graph might be reasonable if you trust the
makers of the graph to do something reasonable.

On another note, I recently came across the book "What Is Calculus
About" by WW Sawyer (available from the MAA via the New Mathematical
Library). I think it's an excellent book for building the intuition
of what's really going on in calculus without getting overly bogged
down in the details.

--Joshua Zucker
Gunn HS, Palo Alto, CA





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