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If f(x)=sum(i=1)^(oo) x/({(i-1)x+1}(ix+1...

If `f(x)=sum_(i=1)^(oo) x/({(i-1)x+1}(ix+1))`, then `f(2017)+f(1/2017)` is equal to

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The correct Answer is:
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`:'f(x)=sum_(i=1)^(oo) [1/((i-1)x+1)-1/(ix+1)]`
`impliesf(x)=lim_(nto oo)[1-1/(nx+1)]`
`impliesf(x)=1`
`:.f(1/x)=1`
`implies f(x)+f(1/x)=2`
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