Precalculus
Improve your experience by picking them
Evaluate limn→∞an\lim_{n\to\infty}a_{n}limn→∞an and determine whether the sequence converges or diverges.
an=5cos(14n2)a_{n}=5\cos\left(\frac{14}{n^2}\right)an=5cos(n214)
an=5a_{n}=5an=5, converges.
an=5a_{n}=5an=5, diverges.
an=DNEa_{n}=DNEan=DNE, converges.
an=DNEa_{n}=DNEan=DNE, diverges.