Question

The function $f\left(x\right)=\frac{log(1+ax)-log(1-bx)}{x}$ is not defined at x-0 . The value which should be assigned to f at x = 0 so that it is continuos at x=0 , is

• A. a-b
• B. a+b
• C. log a+log b
• D. log a-log b

Answer 1

The correct option is B a+b

Since limit of a function is a + b as x $\to$ 0, therefore to be continuous at a function, its value must be
a + b at x = 0 $\Rightarrow$ f(0) = a + b.