1.

Let f(x) be a differentiable function satisfying f(x)+f(x+(1)/(2))=f(x),AA x in R and g (x) =int_(0)^(x)f (t) dt . If g(1)=1, then the value ofsum_(n=2)^(infty)((8)/(sum_(k=1)^(n)(g(x+k^(2))-g(x+k)))) is

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ANSWER :`=6`


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