Find the Limit $\lim _{x \rightarrow 0} \frac{2 \sin x \cos x}{x}$

question 16

Short Answer

Find the limit: $\lim _{x \rightarrow 0} \frac{2 \sin x \cos x}{x}$

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Definitions:

Prisoners' Dilemma

The prisoners' dilemma is a standard example of a game analyzed in game theory that shows why two completely rational individuals might not cooperate, even if it appears that it is in their best interests to do so.

Tit-for-tat Strategy

A strategy in game theory where a participant replicates the opponent's previous action, often used in conflict resolution or competitive situations.

Repeated Play

In game theory, it refers to situations where the same game is played multiple times by the same participants, potentially leading to different strategies based on past outcomes.

Resale Price Maintenance

A practice whereby manufacturers dictate the minimum prices retailers can charge for their products.