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To test the convergence of the given series, we first need to analyze its general form and then apply convergence tests, like the ratio test or root test. The series given is: \[ \frac{3}{5 \cdot 9 \cdot 7}x + \frac{5}{10 \cdot 12 \cdot 11}x^2 + \frac{7}{15 \cdot 15 \cdot 15}x^3 + \frac{9}{20 \cdot 18 \cdot 19}x^4 + \dots \] ### Step 1: Find the general term of the series Looking at the numerators __________ _______ __________ __________ ___ ____.
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