if the function `f(x)` defined by f(x)=`(log(1+a x)-"log"(1-b x))/x` , if `x!=0` and k if x=0 is continuous at x=0 , find k.

Explanation

To find the value of \( k \) such that the function \( f(x) \) is continuous at \( x = 0 \), we need to evaluate the limit of \( f(x) \) as \( x \) approaches \( 0 \) and set it equal to \( k \).

The function is defined as:

\[ f(x) = \frac{\log(1 + ax) - \log(1 - bx)}{x} \quad \text{for } x \neq 0 \]
\[
...