How can I correctly justify, demonstrate, and properly determine that this limit exists?
lim (x,y) --> (0,0)
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How can I correctly justify, demonstrate, and properly determine that this limit exists?
lim (x,y) --> (0,0)
The distance http://quicklatex.com/cache3/ql_8337...4a22498_l3.png.Quote:
Originally Posted by HypatiaDaVinci
How can I correctly justify, demonstrate, and properly determine that this limit exists?
lim (x,y) --> (0,0)
So http://quicklatex.com/cache3/ql_9539...952daeb_l3.png
Thank you very much for the answer. How do you get to the conclusion thatI mean... how do you directly relate them?
To prove this by the definition, you should state thatQuote:
Originally Posted by HypatiaDaVinciThank you very much for the answer. How do you get to the conclusion that
"For all x,y in R, for all epsilon > 0, there exists a delta > 0 such that [d(x, y) < delta] implies [sqrt(x^2 + y^2) < epsilon]
since "d(x, y)" and "sqrt(x^2 + y^2)" are the same thing, you can choose delta to be the epsilon that is given.
Thank you very much, I think I got it now :)