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Also I was also wondering if there are any tools analogous to L'Hopital lying around anywhere.

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- Thread starter Diophantus
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Also I was also wondering if there are any tools analogous to L'Hopital lying around anywhere.

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lim g(x,y) = L

(x,y)-->(a,b)

then can we always say that

lim f(x,y) = lim h(z)

(x,y)-->(a,b) z-->L

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It is things like the mean value theorem that fail.

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Yes, the "composition" law applies to limits of functions of several variables.

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Thanks guys

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