The function $f(x)=sinnx,$ where $n$ is a positive real number, has a local maximum at $x=\frac{}{2n}.$ Compute the curvature $$ of $f$ at this point. How does $$ vary $($if at all$)$ as $n$ varies? The curvature at $x=\frac{}{2n}$ is $=$ How does the value of $$ at $x=\frac{}{2n}$ vary $($if at all$)$ as $n$ varies? A$.k$ increases as $n$ increases. B$.$