Lecture 7 (Calculus)

The comparison lemma states: if aₙ → a and |bₙ − b| ≤ c·|aₙ − a| for all n ≥ N₁ with c > 0, then which conclusion follows?

1. A.bₙ converges to a
2. B.aₙ converges to b
3. C.bₙ diverges unless c = 1
4. D.bₙ converges to b