(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate the following limits or determine that the limit does not exist.

b) lim (x,y)–>(0,0) (1+xy)^(1/xy)

2. Relevant equations

3. The attempt at a solution

I have a funny feeling this limit might exist. (Then again I get that feeling about every indefinite limit...) Can this be simplified further?

I tried converting ƒ to e^log ƒ to get rid of the exponent. Work attached.

Is there a better way of dealing with 1^∞ indefinite limits in more than one variable? Something with more of a multivariable calc flavor?

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# Homework Help: Multivariable Indefinite Limits

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