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let g(x)=ln(f(x)) where f(x) is twice differentiable function on (0,∞).also f(x+1)=x.f(x),for N any natural number ,prove that g"(N+(1/2))-g"(1/2)=-4{(1/1²)+(1/3²)+(1/5²)+..............+(1/(2N-1)²)}

let g(x)=ln(f(x)) where f(x) is twice differentiable function on (0,∞).also f(x+1)=x.f(x),for N any natural number ,prove that g"(N+(1/2))-g"(1/2)=-4{(1/1²)+(1/3²)+(1/5²)+..............+(1/(2N-1)²)}


Grade:11

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