Let C be the positively oriented circle in the complex plane of radius 3 centered at the origin. What is the value of the integral

\(\rm\displaystyle\int_C \frac{d z}{z^2\left(e^z−e^{−z}\right)}\)?

1
iπ/12
2
−iπ/12
3
iπ/6
4
−iπ/6

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