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Frobenius & Special Functions · Easy problem

The Frobenius solution of Bessel's equation of order 00 is J0(x)=∑k≥0(−1)k(k!)2(x2)2kJ_0(x) = \displaystyle\sum_{k\ge0}\frac{(-1)^k}{(k!)^2}\left(\frac{x}{2}\right)^{2k}. Find the coefficient of x4x^4 in this series. Express your answer as a common fraction.