If {} be a monotone decreasing sequence of positive real numbers and lim = 0, prove that the
following sequences are convergent.
(a) 1 −
1
2
(1 + 2
) +
1
3
(1 + 2 + 3
) − … … …
(b) 1 −
1
2
(1 + 3
) +
1
3
(1 + 3 + 5
) − … … …
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