Math  /  Word Problems

Question수렴하는 수열을 고르세요: ᄀ. {12n+1}\left\{\frac{1}{2 n+1}\right\}, ㄴ. {(1)nn}\left\{\frac{(-1)^{n}}{n}\right\}, ᄃ. {(1)n+2}\left\{(-1)^{n}+2\right\}.

Studdy Solution
From the above analysis, we can conclude that the sequences {12n+1}\left\{\frac{1}{2 n+1}\right\} and {(1)nn}\left\{\frac{(-1)^{n}}{n}\right\} are convergent, while the sequence {(1)n+2}\left\{(-1)^{n}+2\right\} is not convergent.
Therefore, the correct answer is (3) ᄀ, ᄂ.

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