in Others edited by
0 votes
0 votes

TIFR ECE 2023 | Question-15

Let $\left\{x_{n}\right\}_{n \geq 0}$ be a sequence of real numbers which satisfy
x_{n+1}\left(1+x_{n+1}\right) \leq x_{n}\left(1+x_{n}\right), \quad n \geq 0 .
Choose the correct option from the following.

  1. The sequence could be unbounded.
  2. The sequence is always bounded but does not necessarily converge.
  3. The sequence always converges to a non-zero limit.
  4. The sequence always converges to zero.
  5. None of the above.


in Others edited by
43.6k points

Please log in or register to answer this question.

Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.