#$2$: For each of the three cases in problem #$1$ above, find the error involved in approximating $f$ with the

corresponding Fourier series when $x=0\mathrm{.}5,$ and the series is truncated after $7$ terms.

$($Note that the error is defined to be the absolute difference between the actual $f$ value and the approximate $f$

value.$)$

The definite integrals appearing in the series should be evaluated numerically using the function trapz. For this

purpose the interval $0,1$ should be discretized using $200$ subintervals.

Enter the errors for $($a$),($b$),$ and $($c$),$ in that order, into the answer box below, separated with commas.

$m\frac{?}{?}$#:

Submit Problem #$2$ for Grading

#$3$: Copy and paste the Matlab code that you used to produce your answers and graphs for this lab into the answer

box below, and save it$.$

DO NOT COPY ANY PART OF ANOTHER STUDENT'S CODE. SUBMITTING OTHER PEOPLE'S WORK

AS YOUR OWN IS A VERY SERIOUS ACT OF ACADEMIC DISHONESTY.