Diff

Question

Let g(x)=log(f(x)) where f(x) is a twice differentiable positive function on (0,infinity) such that f(x+1)=x.f(x) . Then for N=1,2,3... g(N+1/2) - g''(N) = ? Thank you my brother !

SAGAR SINGH - IIT DELHI · Accepted Answer

Dear student,

Since f(x) is twice differentiable function and f(x+1)=xf(x)

f(1)=0

Hence

g''(n+1/2)-g''(n)=0

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Sagar Singh

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Differential Calculus> Diff...

Let g(x)=log(f(x)) where f(x) is a twice differentiable positive function on (0,infinity) such that f(x+1)=x.f(x) .

Then for N=1,2,3...

g(N+1/2) - g''(N) = ?

Thank you my brother !

Balaram Krishnan , 14 Years ago

SAGAR SINGH - IIT DELHI

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Differential Calculus> Diff...

Let g(x)=log(f(x)) where f(x) is a twice differentiable positive function on (0,infinity) such that f(x+1)=x.f(x) . Then for N=1,2,3... g(N+1/2) - g''(N) = ? Thank you my brother !

Balaram Krishnan , 14 Years ago

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