The sequence can be rearranged as
1/3, 1/4, 1/5, 1/6, ...
....1, 1/2, 1/3, 1/4, ...
so, the terms converge to zero
The sum, however, will come close to twice the sum of the harmonic series, which diverges.
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
(1/3,1,1/4,1/2,1/5,1/3,1/6,1/4...)
1 answer
1 answer