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$The function f (x) = \frac{[\log (1 + a x) - \log (1 - b x)]}{x} is not defined at x = 0 . The$ $value, which should be assigned to f at x = 0 so that it is continuous at x = 0, is$

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a-b

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Correct option is B

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.

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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

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$The function f (x) = \frac{[\log (1 + a x) - \log (1 - b x)]}{x} is not defined at x = 0 . The$ $value, which should be assigned to f at x = 0 so that it is continuous at x = 0, is$