The function f(x)=[log(1+ax)−log(1−bx)]x is not defined at x=0. The value, which should be assigned to f at x=0 so that it is continuous at x=0, is
a+b
a-b
loga+logb
None of these
f(x) will be continuous at x=0 if value of f(x) at __x=0, i.e., f(0)
=limx→0 f(x)=a+b. Hence (2) is the correct answer.