Page Description Equation
sum rule \[ \]
difference rule \[ \]
product rule \[ \]
constant multiplier rule \[ \]
quotient rule for limits of sequences \[ \]

Notes

Page Notes
Definition. sequence. An infinite sequence of numbers is a function whose domain is the set of integers greater than or equal to some integer $n_0.$
Definition. The sequence $\{a_n\}$ converges to the number $L$ if, to every positive number $\varepsilon$ there there corresponds an integer $N$ such that for all $n > N,$ $\abs{a_n – L}\lt \varepsilon.$ If no such number $L$ exists, we say that $\{a_n\}$ diverges. If ${a_n}$ converges to $L$ we write $\lim_{n\rightarrow\infty}{a_n}=L,$ or simply $a_n\rightarrow L,$ and call $L$ the limit of the sequence.
Theorem. sandwich theorem for sequences
Theorem. continuous function theorem for sequences
Theorem 4. l'Hospital's Rule for sequences