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Example 5: Limit Comparison Test

Test 09_infinite_series-195.gif where p is a positive constant.

We compare this series with the divergent series


Let H be positive infinite. Then by Theorem 1 in Section 9.1,

ln H < H1/p, (ln H)p < H,


By the Limit Comparison Test, the given series 09_infinite_series-198.gif diverges.

Last Update: 2006-11-15