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Home Infinite Series Series With Positive Terms Examples Example 7: Text for Convergence  
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Example 7: Text for Convergence
Test the series for convergence. If H is positive infinite then by Theorem 1 in Section 9.1, ln H < H^{c} for real c > 0. Now take c so that 0 < c < 1. Then 2  c > 1 so the p series converges. By the Limit Comparison Test, the given series converges.


Home Infinite Series Series With Positive Terms Examples Example 7: Text for Convergence 