Determining Absolute and Conditional Convergence In Exercises 41-58, determine whether the series converges absolutely or conditionally, or diverges.
The provided series is,
Here, , so .
As , so .
Also, Take limit , for ,
Now, by alternating series test,
If and for all n, then the alternating series where is convergent.
Since both the conditions of alternating series test are satisfied for the provided series. Hence the provided series , is a convergent series
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