Since there are no algebraic manipulations that can simplify our limit. we will now try using the 2-path test to show that the limit dne. however, before doing this we should note that we need only compute the limit. lim(x, y)→(0,0)5y4x4+y4 after we have this result we can use limit rules to easily find the solution to save time we will plug in y=mx and observe all non-vertical straight line paths simultaneously.