Which one of the following sequences is not covergent? A: un=∑nk=1sink2k,n=1,2,⋯. B: un=cos(1!)1⋅2+cos(2!)2⋅3+cos(3!)3⋅4+⋯+cos(n!)n⋅(n+1),n=1,2,⋯. C: un=∑nk=1(−1)k−11k,n=1,2,⋯. D: un=(1+3n(−1)n)1/n,n=1,2,⋯.
Which one of the following sequences is not covergent? A: un=∑nk=1sink2k,n=1,2,⋯. B: un=cos(1!)1⋅2+cos(2!)2⋅3+cos(3!)3⋅4+⋯+cos(n!)n⋅(n+1),n=1,2,⋯. C: un=∑nk=1(−1)k−11k,n=1,2,⋯. D: un=(1+3n(−1)n)1/n,n=1,2,⋯.
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