• Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

Card Range To Study

through

image

Play button

image

Play button

image

Progress

1/12

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

12 Cards in this Set

  • Front
  • Back
Sequence:
- usually means that the collection is ordered so that it has an identified first member, second member, ...

- a function whose domain is the set of positive integers
Converge:
approach a limit as the number of terms increases without limit
Diverge:
have no limits as a mathematical series
Definition of the Limit of a Sequence:
Theorem 9.1: Limit of a Sequence:
Theorem 9.2: Properties of Limits of Sequences:
Theorem 9.3: Squeeze Theorem for Sequences:
Theorem 9.4: Absolute Value Theorem
if the absolute value sequence converges to 0, the original signed sequence also converges to 0.
Definition of Monotonic sequence:
each successive term is larger than its predecessor
Definition of Bounded Sequence:
Theorem 9.5: Bounded Monotonic Sequences:
important properties of real numbers:
- they are complete:

meaning...

- there are no holes or gaps on teh real number line

- completeness axiom for real numbers can be used to conclude that if a sequence has an upper bound, it must have a least upper bound.