Question

Prove that every bounded monotonic sequence is convergent. Give counter

example for converse of the theorem​

Answer 1

Answer:

A sequence (an) is said to be increasing if for all values of n we have that an<an+1. ... A sequence (an) is said to be decreasing if for all values of n we have that an>an+1. a n > a n + 1 . The Monotone Convergence Theorem says that if a sequence is bounded and monotone, then it must converge to a real number L