Find the value of the limit for the sequence given. 
Definitions:
Collude
The act of cooperating or conspiring, especially in a deceitful way, between companies to limit competition and manipulate market prices or conditions.
Collusion Model
A theoretical framework that explains how firms within a market may work together to manipulate market conditions, such as price and output, to their advantage.
Perfectly Competitive
A market structure characterized by many buyers and sellers where no single entity can influence market prices.
Predatory Pricing
A pricing strategy where a firm sets its prices below cost in the short term to drive competitors out of the market and achieve a monopoly.
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