Q24·Section A (Section A)·24 of 35Behaviour of the averaged partial sums of the harmonic-root seriesLet tn=1n(1+12+⋯+1n)t_n=\frac1n\left(1+\frac1{\sqrt2}+\cdots+\frac1{\sqrt n}\right)tn=n1(1+21+⋯+n1), n=1,2,…n=1,2,…n=1,2,…. Then OptionsAthe series ∑n=1∞tn\sum_{n=1}^\infty t_n∑n=1∞tn converges and the sequence {tn}\{t_n\}{tn} converges to 000Bthe series ∑n=1∞tn\sum_{n=1}^\infty t_n∑n=1∞tn converges but the sequence {tn}\{t_n\}{tn} does NOT converge to 000Cthe series ∑n=1∞tn\sum_{n=1}^\infty t_n∑n=1∞tn diverges but the sequence {tn}\{t_n\}{tn} converges to 000Dthe series ∑n=1∞tn\sum_{n=1}^\infty t_n∑n=1∞tn diverges and the sequence {tn}\{t_n\}{tn} does NOT converge to 000Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q23All questionsQ25 →Keyboard: A–D answer · S solution · ←/→ previous/next