Q.

If  the function f(x) =log(1+ax)−log(1−bx)x  is continuous at x=0, then f(0)

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a

a−b

b

a+b

c

loga+logb

d

loga−logb

answer is B.

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Detailed Solution

f(0)=limx→0f(x)=limx→0log(1+ax)−log(1−bx)x=limx→0(a1+ax+b1−bx)=a+b
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If  the function f(x) =log(1+ax)−log(1−bx)x  is continuous at x=0, then f(0)