Let's say a two-variable function f(x,y), consider the limit at (x,y)=(a,b).(adsbygoogle = window.adsbygoogle || []).push({});

If for any path y=h(x) approaching (a,b), the single variable functions f(x,h(x)) have the same limit, can I say that the limit of f(x,y) at (a,b) exist(using epsilon-delta definition),and how to prove?

Thanks.

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# Limit of multivarible functions

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