Uni Stuff > Mathematics

Multivariable Limits

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Cthulhu:
HEY THAR MATHEMATICIANS.
I've gone over this 100 times already and I cant seem to do it.
I need to the use definition of a limit to show that something like (not the exact question I just want to see how I'd do something like this.)

I absolutely fail at epsilon delta shit.
Your help is appreciated.

kamil9876:
let

let

we immediately get:  and



So it really just reduces to showing that can be made arbitrarily small for small enough .

If you wanna make for just set since for

Whereas if you wanna make for just set since


Exercise: Prove that the part in red is redundant.

QuantumJG:

--- Quote from: Cthulhu on March 22, 2010, 12:20:38 am ---HEY THAR MATHEMATICIANS.
I've gone over this 100 times already and I cant seem to do it.
I need to the use definition of a limit to show that something like (not the exact question I just want to see how I'd do something like this.)

I absolutely fail at epsilon delta shit.
Your help is appreciated.

--- End quote ---

Lol we are doing ε-δ proofs now... but for one variable.

How is quantum mechanics going?

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