Lecture 9 Part 1 (Calculus)

A sequence aₙ is bounded provided there exists a real number M such that which inequality holds for all n?

1. A.0 ≤ aₙ ≤ M, so the terms stay nonnegative
2. B.M ≤ aₙ, so M is a lower bound only
3. C.|aₙ| < 1/M, so the terms shrink toward 0
4. D.−M ≤ aₙ ≤ M, equivalently |aₙ| ≤ M