probability theory - Strong Law of Large Numbers (Klenke's proof) - Mathematics Stack Exchange

This is a part of the proof of the SLLN in Achim Klenke: »Probability Theory — A Comprehensive Course« (page 113). Now, what does "$\mathbb{1}_{\{x < n\}}$" (sorry, can't typeset this properly)

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probability - Weak law vs strong law of large numbers - intuition

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