I am not sure, how to prove the limits does not exist.
I did the below steps:
I calculated the limits along the x axis:
Lim x->0 f(x,0) = lim x->0 sinx.cos(1/0) = sinx.[infinity] = sin(0).infinity = 0.
Similarly along y axis.
lim y->0 (sin (0).cos(1/y)) = 0.
Could you please help me understand this problem. - Thanks!
I did the below steps:
I calculated the limits along the x axis:
Lim x->0 f(x,0) = lim x->0 sinx.cos(1/0) = sinx.[infinity] = sin(0).infinity = 0.
Similarly along y axis.
lim y->0 (sin (0).cos(1/y)) = 0.
Could you please help me understand this problem. - Thanks!