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j814wong
Group Title
Find a number δ > 0 such that for all x,
0 < absolute value (xx0) < δ → absolute value (f(x)  L) < ϵ
f(x)=4/x, x0=2, ϵ=0.4
Please explain in detail. Unfortunately, my school took a long time to fix my schedule so I was not put into AP BC Calculus until 2 or so weeks in today so much of the foundation is missing but I'm studying on my own to catch up.
 2 years ago
 2 years ago
j814wong Group Title
Find a number δ > 0 such that for all x, 0 < absolute value (xx0) < δ → absolute value (f(x)  L) < ϵ f(x)=4/x, x0=2, ϵ=0.4 Please explain in detail. Unfortunately, my school took a long time to fix my schedule so I was not put into AP BC Calculus until 2 or so weeks in today so much of the foundation is missing but I'm studying on my own to catch up.
 2 years ago
 2 years ago

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j814wong Group TitleBest ResponseYou've already chosen the best response.0
Also, please explain the symbols.
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
they are just variable they use greek letters to annoy you
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1348198061023:dw
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
What do those variables represent?
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1348198204753:dw
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
δ Is delta right? But does it mean the same as the triangle delta?
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
what is the triangle delta ?
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
you want to make \(f\) close to \(L\) how close? within \(\epsilon\) for arbitrary \(\epsilon\) in your case (\epsilon\) is not arbitrary, it is 0.4
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
delta can be 02 or less to satisfy .
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
Δ I mean. Seems it's upper case delta.
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
it is just a variable, you could use anything \(a\), \(b\), \(\alpha\) \(\beta\) etc
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
Ok. I'm frantically flipping through my textbook trying to comprehend all this.
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
In this case, what would epsilon be representing specifically?
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
What is the name of these parts of calculus?
 2 years ago

j814wong Group TitleBest ResponseYou've already chosen the best response.0
Also, my textbook says δ = 1/3 is the answer but how they got it I have no idea.
 2 years ago
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