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Home Infinite Series Series With Positive Terms Examples Example 3: Test for Convergence
 
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Example 3: Test for Convergence

Test the series 09_infinite_series-181.gif for convergence. Intuitively, the 7n

should overcome the -5n, so we shall compare with 6n/7n. The simplest approach is to factor out 7n. We have

09_infinite_series-182.gif

The geometric series 09_infinite_series-183.gif is convergent, so the given series converges.
Home Infinite Series Series With Positive Terms Examples Example 3: Test for Convergence

Last Update: 2006-11-15