$($c$)$ Now we experimentally verify the bound from part $($a$)$ in Matlab using your

function from part $($b$).$ Define a vector x of $100$ equally spaced points between

$[0$; $=2].$ For each of these points, compute the error, j sin$($x$)$ my sin$($x; n$)$j$,$

using two different values of n:

$$ n $=3$

$$ Value of n that you compute in part $($a$)$

Plot the errors for both these values of n against the vector x$.$ Is your error

below the bound in part $($a$)$ at all these points for the two values of n$?$