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Home Infinite Series Alternating Series Examples Example 1: Alternating Harmornic Series Converging  
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Example 1: Alternating Harmornic Series Converging
The alternating harmonic series converges by the Alternating Series Test, because  is decreasing and approaches zero as n→∞. The partial sums are or The sum S is between any two consecutive partial sums, for example


Home Infinite Series Alternating Series Examples Example 1: Alternating Harmornic Series Converging 