Discussion Forum : Limits Continuity And Differentiability
Question -


The function f(x)=log(1+ax)log(1bx)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                                 

Options:
A .   a-b
B .   a+b
C .   log a+log b
D .   log a-log b
Answer: Option B
:
B

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



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