a) Using the paths x=0 and y=x+1, show by the two-path test that the limit, does not exist.

b) Find the limit, , if it exists. IF it does not, explain why not.

c) Is it possible to define a new function g(x,y) that is defined and continuous for all (x,y) in R^2, and such that g(x,y)=f(x,y) for all (x,y) in the domain of f? If so, find such a function, If not, explain why not.

I'm not sure where to start for a)

for b) i think its

and I also don't know where to start for c)