Should answer be option a?

(Q.39) Suppose f:R>R such that ((x+))sin(a+y) (xy)= (0,0) + f(x)= 0, (xy)= (a,0) a is discontinuous at0,0 f(x., y) is continuous everywhere b C lim s(x.y)=f (0,0) 0.0)1 d None of these