Dang...looked like a limit of some sort, but it has been WAY too long since I had any kind of math class. I look forward to seeing the answer tomorrow.
It's the definition of the limit of a continuous function:
"For any positive epsilon there exists a positive delta such that for a deleted neighborhood of x within delta the value of the function will approach the limit L within epsilon."
Not quite sure what it is, but I can only "read" half of it... And what I found was that it's something about defining a mathematical limit in terms of the function f(x)?
What's funny, though, is the result of the google search. At the bottom, it asks it's "did you mean"... It make me chortle!
Edit: It seems as if Google wants to say that it could help me out better only if the expression read "for the absolute values of x" rather than for "a from x". Ha!
For every epsilon > 0 there is a delta >0 such that the absolute value of x-a > 0 and less than delta implies that the absolute value of f(x) -L < epsilon.
The basis of limits in calculus.
oh wait, that's MY profile :D
You get double super extra bonus points if you can give me the logical negation of that statement.
(I don't know the answer; it was a bonus question in my Honors Calc I class, and we never got it right...it's haunted me for 25 years)
no subject
Date: 2009-04-15 12:39 am (UTC)no subject
Date: 2009-04-15 12:44 am (UTC)no subject
Date: 2009-04-15 01:00 am (UTC)no subject
Date: 2009-04-15 01:04 am (UTC)So-o-o-o-o-o-o close
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Date: 2009-04-15 01:00 am (UTC)but I SOOOOO googled that formula!
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Date: 2009-04-15 01:44 am (UTC)calculus ftw
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Date: 2009-04-15 01:47 am (UTC)no subject
Date: 2009-04-15 01:58 am (UTC)"For any positive epsilon there exists a positive delta such that for a deleted neighborhood of x within delta the value of the function will approach the limit L within epsilon."
Man, my calculus is rusty...
no subject
Date: 2009-04-15 02:03 am (UTC)no subject
Date: 2009-04-15 02:27 am (UTC)no subject
Date: 2009-04-15 02:35 am (UTC)What's funny, though, is the result of the google search. At the bottom, it asks it's "did you mean"... It make me chortle!
Edit: It seems as if Google wants to say that it could help me out better only if the expression read "for the absolute values of x" rather than for "a from x". Ha!
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Date: 2009-04-15 02:35 am (UTC)...it's the definition of a limit.
But the limit of a function as x approaches a is L. How is that an online profile header?
Hrmm...
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Date: 2009-04-15 10:37 pm (UTC)no subject
Date: 2009-04-15 02:48 am (UTC)The basis of limits in calculus.
oh wait, that's MY profile :D
You get double super extra bonus points if you can give me the logical negation of that statement.
(I don't know the answer; it was a bonus question in my Honors Calc I class, and we never got it right...it's haunted me for 25 years)
no subject
Date: 2009-04-15 02:58 am (UTC)no subject
Date: 2009-04-15 03:50 am (UTC)no subject
Date: 2009-04-15 04:50 am (UTC)no subject
Date: 2009-04-15 06:14 am (UTC)no subject
Date: 2009-04-15 01:13 pm (UTC)