To prove you need to show
Can you show us what you've tried please?
what was done above and ->
y^2 <(or equal to) (x+1)^2 + y^2 since x > -1
so, lx(x-1)l y^2 / (x-1)^2 + y^2 <(or equal too) lx(x+1)l = sqrt((x(x+1))^2) <(or equal too) sqrt((x+1)^2+ y^2)
Hence, Lim (x,y) -> (-1,0). X(x-1)y^2 / (x-1)^2 + y^2 = 0
is that right?