Question

maximizing a function that has an integer multiplier in it.

how would I maximize \[f(n)=\frac{1}{4}-\frac{1}{2\pi n}\sin\frac{\pi n}{2}\]
when \(n=1,2,3....\)

Answer 1

I think you have done that derivative wrong. also this function looks like it pretty clearly converges to 1/4 as \(n\to\infty\). I think it might be better to show the maximum by writing this as three decreasing sequences or something?