Question

Let {an} and {bn} be two Cauchy sequences of real numbers. Prove or give a counter example for the

following statements.

(a) There exists α ∈ (0, 1) such that |an+1 − an| < α|an − an−1| for all n ≥ 2.

(b) The sequence {a

2

n

bn} is a Cauchy sequence.

(c) The sequence {|an − bn|} is a Cauchy sequence.​

Answer 1

Answer:

v

Step-by-step explanation:

The Brahmaputra River Basin consists of the Ganges and Brahmaputra, which originates in Tibet and the Barak River starting in India. ... The river basin is a wide land area made up of parts of India, Tibet, Bhutan, Nepal, and Bangladesh. The Brahmaputra River flows for 1,800 miles through Tibet, India, and Bangladesh.