Q2. (i) Let d on R² by
$\frac{xy}{x^2+xy+y^2}$ if $(x,y) \neq (0,0)$
d(x, y) =
0 if otherwise.
Is d continuous at the point (0,0) ? R²? Hence or otherwise, determine the largest set on
which the function is continuous.
(ii) Given that g(t) = t² + ?t and f(x,y) = 2x+3y+6, find h(x,y) = g(f(x, y)) and the set on
which h is continuous.