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Home » H: Power series convergence via ratio test - Leaselab

H: Power series convergence via ratio test - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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We solve this cubic equation. Try rational roots: \( \pm1, \pm2, \pm4...
Test \( x = 1 \):
\( 1 - 5 + 6 - 4 = -2
Test \( x = 2 \):
\( 8 - 20 + 24 - 4 = 8
Test \( x = 4 \):
\( 64 - 80 + 24 - 4 = 4
Test \( x = 1 \) again â not zero. Try \( x = 1 \) few more times.
Wait â test \( x = 1 \): â not zero. Try \( x = 2 \):
\( 8 - 20 + 24 - 4 = 8 \) â too big.

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