Question:
Which of the following statements is/are TRUE ?
Which of the following statements is/are TRUE ?
Updated On: Aug 13, 2024
- \(\sum\limits_{n=1}^{\infin}n\log(1+\frac{1}{n^3})\) is convergent
- \(\sum\limits_{n=1}^{\infin}(1-\cos(\frac{1}{n}))\log n\) is convergent
- \(\sum\limits_{n=1}^{\infin}n^2 \log(1+\frac{1}{n^3})\) is convergent
- \(\sum\limits_{n=1}^{\infin}(1-\cos(\frac{1}{\sqrt n}))\log n\) is convergent
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The Correct Option is A, B
Solution and Explanation
The correct option is (A) : \(\sum\limits_{n=1}^{\infin}n\log(1+\frac{1}{n^3})\) is convergent and (B) : \(\sum\limits_{n=1}^{\infin}(1-\cos(\frac{1}{n}))\log n\) is convergent.
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