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I'm trying to wrap my head around epsilon/delta proofs for multivariable limits and it turns out I became stuck on an easy one!

The limit is:

[itex]\lim_{(x,y) \to (1,1)}\frac{xy}{x+y}[/itex]

Obviously, the result is [itex]1/2[/itex], but I'm unable to prove it!

Any hints?

Thank you!

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# Easy delta/epsilon proof of a multivariable limit

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