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Calculus Level 5

x22×3+2x33×4+3x44×5+ \frac {x^2}{2 \times 3} + \frac {2x^3}{3 \times 4} + \frac {3x^4}{4 \times 5} + \ldots

For x<1 |x| < 1, the series above converge to (pqx)ln(1x)q \left (p - \frac q x \right) \ln (1 - x) - q .

Find the value of p4+q4p^4 + q^4 .

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