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PAGE: 649SET: ExercisesPROBLEM: 87
Please look in your text book for this problem Statement

Ratio Test :

(i) If , then the series is  is absolutely convergent.

(ii) If  or , then the series is  is divergent.

(iii) If , then the ratio test is inconclusive.

The series is .

.

Find .

.

Since is converges, .

.

For the series is diverges and the series is converges.

then the series is  is absolutely convergent.

Therefore , the series  is converges for .

The series converges for .



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