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Calculus Level 4

\[ \frac {x^2}{2 \times 3} + \frac {2x^3}{3 \times 4} + \frac {3x^4}{4 \times 5} + \ldots \]

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

Find the value of \(p^4 + q^4 \).

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