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If f(x)={{: (xcosx+(log)e((1-x)/(1+x)),...

If `f(x)={{: (xcosx+(log)_e((1-x)/(1+x)), x!=0), (a, "x=0):}`; is odd, then `a`_______,

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The correct Answer is:
0
For `x ne 0, f(x)=x cosx + log_(e)((1-x)/(1+x))`
` :. f(-x)=(-x)cos(-x)+log_(e)((1+x)/(1-x))`
`= -x cosx-log_(e)((1-x)/(1+x))`
`= -f(x)`
For `x=0`, we must have `f(-x)= -f(x)`
` :. a= -a`
` :. a=0`
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