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/sci/ - Science & Math

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8453051 No.8453051 [Reply] [Original]

How do I prove axioms? Like, how do I justify that limes x -> inf

x^3/x^3+x^2+1

I know how to solve it, but I am completely lost at justifying. don't know even where to start.

>had to crash in the middle of course

>> No.8453134

>>8453051
You can't necessarily prove axioms, that's the point. They're established axiomatically.

>> No.8453171

>>8453134
The point is to prove it close enough using epsilon (x axis) and delta (y axis) ie. what is the sup A and what is the min

>> No.8453197

>>8453051
I think generally you prove some concrete elementary examples such as 1/x -> 0 or x -> inf directly from the definition and then you prove theorems about operations with limits and also the limit of a composite function. this makes the "solution" into a rigorous proof.

>> No.8453538

>>8453197
The hardest part for me is to put it in the actual language, like in the mathematical language. And it doesn't help if I read it how it was solved, because in that form, I just can't get my head around it.

Thing is, that one month ago they already went through that, and I have a shitload of catching up to do.