Sequences of Real Numbers--
... {an} converges provided that it converges to some number. Otherwise we say that it diverges. In the particular case when an gets larger and larger without bound as n→∞, we say that {an} diverges to ∞. (Likewise {an} can diverge to -∞.) ...
... {an} converges provided that it converges to some number. Otherwise we say that it diverges. In the particular case when an gets larger and larger without bound as n→∞, we say that {an} diverges to ∞. (Likewise {an} can diverge to -∞.) ...
Lecture 3
... To work with objects such as 2 in a systematic way we need to consider a much larger system of numbers - the real numbers R. To begin with we’ll work with a heuristic idea of R as the set of all numbers which can be represented by an infinite decimal expansion. It therefore corresponds to our intuit ...
... To work with objects such as 2 in a systematic way we need to consider a much larger system of numbers - the real numbers R. To begin with we’ll work with a heuristic idea of R as the set of all numbers which can be represented by an infinite decimal expansion. It therefore corresponds to our intuit ...
File
... states that between any two real numbers is another real number. This property is also true for rational numbers, but not for whole numbers or integers. For instance, there is no integer between –2 and –3. ...
... states that between any two real numbers is another real number. This property is also true for rational numbers, but not for whole numbers or integers. For instance, there is no integer between –2 and –3. ...
10.1 Irrational Numbers filled out - Cole Camp R-1
... Irrational numbers • Are numbers that cannot be written as a fraction, a terminating decimal, or repeating decimals. • Examples include: π and 2 ...
... Irrational numbers • Are numbers that cannot be written as a fraction, a terminating decimal, or repeating decimals. • Examples include: π and 2 ...