- #1
ekkilop
- 29
- 0
Hi!
Consider the function
\frac{d^n}{dx^n} \sum_{k=1}^m \sin{kx}, \quad 0 \leq x \leq \pi/2.
If n is odd this function attains its largest value, \sum_{k=1}^m k^n at x=0. But what about if n is even? Where does the maximum occur and what value does it take?
Any help is much appreciated. Thank you!
Consider the function
\frac{d^n}{dx^n} \sum_{k=1}^m \sin{kx}, \quad 0 \leq x \leq \pi/2.
If n is odd this function attains its largest value, \sum_{k=1}^m k^n at x=0. But what about if n is even? Where does the maximum occur and what value does it take?
Any help is much appreciated. Thank you!
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