Lecture 2 - Explicitly Defined Sequences, Squeeze Theorem, Monotonic, Bounded (Increasing & Decreasing) Flashcards
1
Q
What is a sequence?
A
2
Q
What may a sequence be generated by?
A
3
Q
What is a geometric sequence?
A
4
Q
State the convergence of a geometric sequence.
A
Converges if r is greater than -1 and less-than or equal-to 1. Diverges otherwise.
5
Q
How do you find the limit of a sequence from the limit of a function.
A
If the limit of f(x) as x approaches infinity is equal to L, then the limit of the sequence is also L (where L is any real number)
6
Q
State the four limit laws for sequences:
A
7
Q
What is the squeeze theorem (as it applies to sequences)?
A
