1
$\begingroup$

How do I plot this on Mathematica version 5.2?

$\frac{4}{\pi} \sin{x} + \frac{4}{3 \pi} \sin{3 x} + \cdots + \frac{4}{(2 N+1) \pi} \sin{(2 N+1) x}$

over $x \in [-\pi,\pi]$ for $N= 3, 6, 12, 24$.

I tried and got this error:

enter image description here

$\endgroup$
1
$\begingroup$

This seems to work fine:

f[x_, n_] := (4/Pi) Sum[Sin[(2 k + 1) x]/(2 k + 1), {k, 0, n}]; 
Plot[Table[f[x, n], {n, 5}], {x, -Pi, Pi}]

enter image description here

$\endgroup$
  • $\begingroup$ May be it does not work in version 5.2 of mathematica $\endgroup$ – Avinesh Oct 10 '13 at 2:47
  • $\begingroup$ How to get get single curve for n=5 only? $\endgroup$ – Avinesh Oct 10 '13 at 3:08
  • $\begingroup$ Plot[f[x, 5], {x, -Pi, Pi}] gives just the n=5 curve. $\endgroup$ – bill s Oct 10 '13 at 3:34
  • $\begingroup$ This one works for version 5.2 s[n_, x_] := 4/( π) Sum[Sin[(2 k + 1) x]/(2 k + 1), {k, 0, n}] partialsums = Table[s[5, x], {n, 6}]; Plot[Evaluate[partialsums], {x, -π, π}] $\endgroup$ – Avinesh Oct 10 '13 at 3:59

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.