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 2 years 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.
 2 years 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.

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

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

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

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

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

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

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

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0you 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

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

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

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

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

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

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

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