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Topic: [ap-calculus] e
Replies: 1   Last Post: Oct 23, 2012 5:28 PM

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John Hanna

Posts: 106
Registered: 1/8/11
RE: [ap-calculus] e
Posted: Oct 23, 2012 5:28 PM
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NOTE:
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When x is extremely large, rounding of the 1/x term makes it (1+0)^x

John Hanna
jehanna@optonline.net
www.johnhanna.us
T3 - Teachers Teaching with Technology
"the future isn't what it used to be."


-----Original Message-----
From: erinslong@yahoo.com [mailto:erinslong@yahoo.com]
Sent: Tuesday, October 23, 2012 7:37 AM
To: AP Calculus
Subject: [ap-calculus] e

NOTE:
This ap-calculus EDG will be closing in the next few weeks. Please sign up
for the new AP Calculus
Teacher Community Forum at
https://apcommunity.collegeboard.org/getting-started
and post messages there.
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So I had a pre calculus student ask me why the lim x->inf (1+1/x)^x is e. I
can prove it, but I've never noticed until he showed me this that in the
calculator, the graph of (1+1/x)^x actually goes to one when you plug
EXTREMELY large numbers into the table values. Does anyone know how to
explain this?

Greatly appreciate your thoughts!

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