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Let f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ ...

Let `f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0` . Find the value of `f` at `x=0` so that `f` becomes continuous at `x=0` .

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`lim_(x->0)f(x)=f(0)`
`lim_(x->0)(log(1+(x/a))-log(1-(x/b)))/x`
`lim_(x->0)((1/(1+(x/a)))*1/a-1/(1-(x/b))*-1/b)/1`
`=1/1*1/a+1/1*1/b`
`lim_(x->0)f(x)=1/a+1/b`.
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