Is there any closed formula for the series
$$\sum_{k=1}^{\infty}\frac{\sin (kx)}{k}$$
or for the sum
$$\sum_{k=1}^{n}\frac{\sin (kx)}{k}$$
where $x$ is an real number. Thank you.
Is there any closed formula for the series
$$\sum_{k=1}^{\infty}\frac{\sin (kx)}{k}$$
or for the sum
$$\sum_{k=1}^{n}\frac{\sin (kx)}{k}$$
where $x$ is an real number. Thank you.
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