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 21 
 on: December 18, 2009, 02:20:32 PM 
Started by tcook10 - Last post by ste
Continuity of f(x) implies that |f(x) - f(c)| < epsilon whenever |x - c| < delta. Where "epsilon" and "delta" are positive real numbers.

Now,

| |f(x)| - |f(c)| | =< |f(x) - f(c)| for all x, which completes the proof.

i.e. | |f(x)| - |f(c)| | =< |f(x) - f(c)| < epsilon whenever |x - c| < delta, so |f(x)| is a continuous function.

Hope this helps.

 22 
 on: December 04, 2009, 06:45:01 PM 
Started by Floorihierser - Last post by ScaliMax73
Hey... Im all for new, young hotties
 
What? What? I like the idea of dirtying them up... even if theyre already dirty...
 
So, um... welcome Tyra... I look forward to, um, meeting you
 
:::.POOF:::

 23 
 on: December 04, 2009, 09:16:50 AM 
Started by Floorihierser - Last post by D.Dieda
Hey guys,

I just joined this forum and wanted to introduce myself.  I look forward to learning and contributing.

Cheers

 24 
 on: December 02, 2009, 11:29:58 PM 
Started by Floorihierser - Last post by D.Dieda
hello all.im new jsut want to say hi and thanks for having me.

 25 
 on: December 02, 2009, 12:36:00 AM 
Started by Floorihierser - Last post by ScaliMax73
Hey Welcome.
Yeah, this is the correct section for newbies to say hello.

 26 
 on: November 16, 2009, 09:53:20 AM 
Started by webmaster - Last post by ScaliMax73
We all have our idea as to what are the most misleading and/or useless statistics.  But what are they and why are they misleading and/or useless?

 27 
 on: November 11, 2009, 11:39:31 PM 
Started by Floorihierser - Last post by Floorihierser
What's up everyone, I'm new to the forum and just wanted to say hey. Hopefully I posted this in the right section!

 28 
 on: November 09, 2009, 09:41:44 AM 
Started by tcook10 - Last post by webmaster
I would go about it using the definition of absolute value, together with the fact that f(x) is continuous. Something like this:

Recall |f(x)| = f(x) if f(x) >= 0 or -f(x) if f(x) < 0

By assumption f(x) is continuous at c, i.e. |f(x) - f(c)| < epsi if |x - c| < delta

You need to show that | |f(x)| - |f(c)| | < epsi if |x - c| < delta

Now try three cases:

(1) f(c) > 0, which also implies that f(x) > 0 if x and c are close enough (why?) ... (use def of |f(x)|)
(2) f(c) < 0, which also implies that f(x) < 0 if x and c are close enough (why?) ... (use def of |f(x)| again but factor out a minus sign ...)
(3) f(c) = 0, which follows right away from f being continuous

Hope it helps, best of luck.

 29 
 on: November 08, 2009, 10:08:16 PM 
Started by tcook10 - Last post by tcook10
Please help me to understand how to prove The absolute value of any continuous function is continuous.

 30 
 on: November 06, 2009, 08:53:44 PM 
Started by Harry_Bohannon8f70 - Last post by GuitarCrazyo
I dont know what xampp is but how are you handling the connections? if youre opening and closing for each of the record, then Im not surprised.

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