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I have a problem that says:
Sketch the interval (a,b) on the x axis with the point Xo inside. Then find a value of delta > 0 such that for all x, 0 < abs value(x-Xo) < delta -> a<x<b
I am given a=1 b=7 Xo=2
How would I find the value of delta? Thanks for the help!!
The distance from x toQuote:
Originally Posted by KarlosK
has to be less than the distance from x to a or the distance from x to b.
has to be less than the smaller of
.
http://www.mathhelpforum.com/math-he...f83f94c2-1.gif http://www.mathhelpforum.com/math-he...88202817-1.gif.
I did what you said and came up with
5 and -1
So does that mean I could just choose any number that is less than -1 for the http://www.mathhelpforum.com/math-he...5357ad29-1.gif ?
No. We needQuote:
Originally Posted by KarlosK
.
In these problems.
http://www.mathhelpforum.com/math-he...347c7ace-1.gif.
So it comes out to 1, 5
so it has to be a number less than one? Does it matter which number I choose?
Absolutely, it makes a real different.Quote:
Originally Posted by KarlosK
Do you understand what the concept of minimum implies?
What is the minimum here,
That is your