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Topic: [ap-calculus] limit question
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cindy

Posts: 40
From: Kansas
Registered: 5/14/06
[ap-calculus] limit question
Posted: Aug 22, 2012 1:02 PM
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Greetings!
We are investigating graphically and numerically the following limit today:

Limit as x approaches 0 of
(1 + x)^(1/x)

The limit by table goes to 2.7183 (e). However, when a student evaluated 10^-50 power, the calculator said it was 1 - which makes sense as you will get 1 raised to a very large number. So, what exactly IS the limit of this equation? Graphically, it appears there is a hole in the graph and not a value of 1 graphed at 0. I am puzzled on what is happening here. HELP?! Thank you!
Cindy Couchman

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Course related websites:
http://apcentral.collegeboard.com/calculusab
http://apcentral.collegeboard.com/calculusbc
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