ID: Class: 12 Subject: Math Topic: Continuity and Differentiability Type: Mcq Year: 2025

Question:

If \(f(x)=\begin{cases}\frac{\log(1+ax)+\log(1-bx)}{x},&for~x\ne0\\ k&,for~x=0\end{cases}\) is continuous at \(x=0\), then the value of k is:
  • A. a
  • B. \(a+b\)
  • C. \(a-b\)
  • D. b