Limits of a Sequence (Leaving Cert Mathematics): Flashcards

Sequence with a finite limit

Sequence with infinite limit or no limit

Divergent (limit $\to \infty$)

$\frac{1}{3}$ (convergent)

Divergent (no limit exists)

$\lim_{x \to a}f(x) \pm \lim_{x \to a}g(x)$

$c\lim_{x \to a}f(x)$

$\lim_{x \to a}f(x) \cdot \lim_{x \to a}g(x)$

$\frac{\lim_{x \to a}f(x)}{\lim_{x \to a}g(x)}$

$c$

$0$

$0$

$\infty$

Not defined