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

The function `f(x)=(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 continuous at x=0 is

A

`log a+log b`

B

`0`

C

`a-b`

D

`a+b`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The function f(x) = ([log (1 + ax) - log (1-bx)])/(x) is not defined at x = 0. The value, which should be assrgned to f at x = 0. The value, which should be assrgned to f at x = 0 so that it is continuous at x = 0 is :

    A
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    B
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    C
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  • The function f(x)=log(x+sqrt(x^(2)+1)) is :

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    B
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