MATLAB function that takes as input a positive parameter k$,$ an interval radius $\backslash$delta $($call $\backslash$delta something

like delta in MATLAB$),$ and a desired error threshold err, and returns a value n for which you can prove that

the n

th$-$order Taylor Polynomial for f$($x$)=$ sin$($kx$)$ about x $=0$ is within err of sin$($kx$)$ for all x in $[\backslash$delta $,\backslash$delta $]$MATLAB function that takes as input a positive parameter k$,$ an interval radius $\backslash$delta $($call $\backslash$delta something

like delta in MATLAB$),$ and a desired error threshold err, and returns a value n for which you can prove that

the n

th$-$order Taylor Polynomial for f$($x$)=$ sin$($kx$)$ about x $=0$ is within err of sin$($kx$)$ for all x in $[\backslash$delta $,\backslash$delta $]$