1. The problem statement, all variables and given/known data https://i.imgur.com/Wx0tkw8.jpg (example 3b) 2. Relevant equations limit of multivariable equation Two path test 3. The attempt at a solution My instructor told us that we should only use two paths test only if we predict there isn't any limit... but how can we 'sense' there aren't limit?? (take e.g. 3b...) moreover, where are the two paths come from? (I don't feel like y=0 and y=-x^2 have any connection to the required function...) any help would be appreciated~~~ thank you very much!!!