Functions Question 301
Question: The function $ f(x)=\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
[IIT 1983; MP PET 1995; Karnataka CET 1999; Kurukshetra CEE 2002; AMU 2002]
Options:
A) $ a-b $
B) $ a+b $
C) $ \log a+\log b $
D) $ \log a-\log b $
Show Answer
Answer:
Correct Answer: B
Solution:
Since the limit of a function is $ a+b $ as $ x\to 0 $, therefore to be continuous at a point, its value must be $ a+b $ at $ x=0 $ $ \Rightarrow f(0)=a+b. $
BETA
