Prove that 
converges to 
by showing that 
. Show all your work.
Definitions:
Insolvent
The condition of being unable to pay debts as they fall due, or having liabilities that exceed assets.
Preferential Payment
A payment made to a creditor before bankruptcy that unfairly prioritizes that creditor over others, which can be reclaimed by the bankruptcy trustee.
Jewelry Store
A retail business establishment specializing in the sale of jewelry, including necklaces, rings, earrings, and bracelets, often offering repair services as well.
Bankruptcy Petition
A formal request filed in court by a debtor seeking relief from unmanageable debts, initiating bankruptcy proceedings.
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