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Home Infinite Series Series With Positive Terms Examples Example 5: Limit Comparison Test  
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Example 5: Limit Comparison Test
Test 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 < H^{1/p}, (ln H)^{p} < H, By the Limit Comparison Test, the given series diverges.


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