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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.
 one year ago
 one year ago
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.
 one year ago
 one year ago

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j814wongBest ResponseYou've already chosen the best response.0
Also, please explain the symbols.
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
they are just variable they use greek letters to annoy you
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.1
dw:1348198061023:dw
 one year ago

j814wongBest ResponseYou've already chosen the best response.0
What do those variables represent?
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.1
dw:1348198204753:dw
 one year ago

j814wongBest ResponseYou've already chosen the best response.0
δ Is delta right? But does it mean the same as the triangle delta?
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.1
what is the triangle delta ?
 one year ago

satellite73Best 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
 one year ago

mahmit2012Best ResponseYou've already chosen the best response.1
delta can be 02 or less to satisfy .
 one year ago

j814wongBest ResponseYou've already chosen the best response.0
Δ I mean. Seems it's upper case delta.
 one year ago

satellite73Best ResponseYou've already chosen the best response.0
it is just a variable, you could use anything \(a\), \(b\), \(\alpha\) \(\beta\) etc
 one year ago

j814wongBest ResponseYou've already chosen the best response.0
Ok. I'm frantically flipping through my textbook trying to comprehend all this.
 one year ago

j814wongBest ResponseYou've already chosen the best response.0
In this case, what would epsilon be representing specifically?
 one year ago

j814wongBest ResponseYou've already chosen the best response.0
What is the name of these parts of calculus?
 one year ago

j814wongBest 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.
 one year ago
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