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The sequence 1, 1, 1, 1, 1…. is?

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The sequence 1, 1, 1, 1, 1…. is?

(a) Absolutely summable

(b) Is not absolutely summable

(c) Can’t say

(d) None of the mentioned

I have been asked this question in an internship interview.

My enquiry is from Special Sequences topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct answer is (b) Is not absolutely summable

The best explanation: For limit n tending to infinity the sum also tends to infinity and thus it is not summable.

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