Q12·Section A (Section A)·12 of 60Identifying the only convergent seriesWhich one of the following series is convergent? OptionsA∑n=1∞5n+14n+1\displaystyle\sum_{n=1}^{\infty}\frac{5n+1}{4n+1}n=1∑∞4n+15n+1B∑n=1∞(1−1n)n\displaystyle\sum_{n=1}^{\infty}\left(1-\frac{1}{n}\right)^{n}n=1∑∞(1−n1)nC∑n=1∞sin(1n)n1/n\displaystyle\sum_{n=1}^{\infty}\sin\left(\frac{1}{n}\right)n^{1/n}n=1∑∞sin(n1)n1/nD∑n=1∞n(1−cos(1n))\displaystyle\sum_{n=1}^{\infty}\sqrt{n}\left(1-\cos\left(\frac{1}{n}\right)\right)n=1∑∞n(1−cos(n1))Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q11All questionsQ13 →Keyboard: A–D answer · S solution · ←/→ previous/next