an1/n →L⇒an₊1/an→L
Counterexample
Is this true?
₊
₊
No — it is false.
Go deeper· Explained in full in Sequences in ℝ — the implication map· Asked in CSIR NET December 2025· From The Real Line › Sequences: convergence, monotone, Bolzano–Weierstrass, Cauchy