Determine where function is discontinuous by its fourier coefficients

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The fourier coefficients of ${f} \in C_{PW}^0$ are given by $\widehat f(n)=(-i)^n(\frac{3i}{4n}+\frac{1}{2\pi n^2}) $ for $n \ne 0$.

Find where $f$ is discontinuous and what is its jump there?

it's enough to find estimates to the exact answer.

Honestly i don't know how to even start.