probability - Condition for strong law of large numbers

probability - Condition for strong law of large numbers

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I am reading the solution of the following task: Here is the solution: From where does the last inequality in the second line comes from? Everything else is totally clear to me.

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MathType on X: The Law of Large Numbers is a result in #probability that accounts for a very intuitive phenomena: The average of the results obtained from a large number of trials

Solved Let (Xn)n≥1 be a sequence of independent random