Q1

Let f (xy) =f(x) f(y) for every x, y belongs to R.if f(x) is continuous at any one point x=a, then prove that f(x) is continuous for all x belongs to R-{0}.

Q2

F(x) = 3 if x=0

and [(1+ax+bx^3)/(x^2)]^(1/x) if x is not equal to zero

Find a, b if F(x) is continuous at 0.(looks wrong question )