<p>ive been teaching myself limits lately, since i havent taken calculus yet [im a junior this coming year] and i need it for physics C. the following problem, i have all the correct numbers for the solution, but instead of a < sign, its a less than OR equal to sign. and the textbook doesnt explain why:</p>
<p>In the following exercise, we are given lim [x-->c] of f(x)=L and thus f(c), c, and L. Corresponding to each >0, find delta>0 (in terms of ) such that
0<|x - c| < delta --> |f(x) - L|<.</p>
<p>the problem was: lim [x ->5] of (x²-25)/(x-5) = 10. </p>
<p>the answer ended up, for me, being, 0 < |x-5| <. but the book had it as 0< |x-5| lessthanorequalto .</p>
<p>whys that?</p>
<p>I do not know which book you are using, but it's possible that the book was wrong. Those proofs still irritate me but I don't recall having <=, and trying to solve one through written word is hard for me. I suggest checking your answer with purplemath.com or something similar.</p>
<p>If 0 < |x-5| < δ, then |[(x²-25)/(x-5]-10| < ε
The right expression simplifies to: |x-5| < ε
Thus we take δ = ε.
From there you can solve the rest. I believe however that that may have been a typo, because the final expression should be what you got.</p>
<p>What does mean? Is it just a variable? What about δ?</p>
<p> is the symbol for euro.</p>
<p>It is supposed to be an epsilon, the y value-range in the delta-epsilon proof of a limit.
Besides, I don't think you need to know formal limits for Physics, just the informal definition will do.
She probably messed up the symbols; the d-shape was the delta, or the x-range.</p>
<p>oop! you're right, kman1456. i did mix up those symbols. so its probably a typo? that kinda makes more sense for me.</p>
<p>Yeah, I got the same thing. I think it's a typo.</p>
<p>
[quote]
It is supposed to be an epsilon
[/quote]
</p>
<p>Alpha beta gama delta...</p>
<p>EPSILON.</p>
<p>What's your point, JonK?</p>
<p>And you spelled gamma incorrectly.</p>
<p>
[quote]
[quote]
It is supposed to be an epsilon
[/quote]
</p>
<p>Alpha beta gama delta...</p>
<p>EPSILON.
[/quote]
</p>
<p>What's ur point, JonK?</p>
<p>Those are the first five letters of the Greek alphabet.</p>
<p>No crap, but why did he quote you and then recite them? Was he just showing off his knowledge of the Greek alphabet?</p>
<p>Yes, I was. :)</p>
<p>And now you are showing off your stupidity and pointlessness.</p>
<p>"No crap..."</p>
<p>That's so obnoxious.. ughh.</p>
<p>You're a stupid little ******* in training.</p>
<p>Can we end this d*** thread now?</p>
<p>Didn't someone already yell at you for saying retarded?</p>
<p>Or was that someone else?</p>
<p>I don't remember.</p>
<p>I think it was the person with autism or whatever that said that.</p>
<p>Don't you have autism?</p>
<p>Once again, I don't remember.</p>
<p>There, happy? You racist little brat?</p>