Question

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) ​

Answer 1

Answer:

nansbsjjdudndbdjdjieudhdvhsusvebsihsbsks