Master Math: Pre-Calculus by Debra Anne Ross
Author:Debra Anne Ross [Debra Anne Ross]
Language: eng
Format: epub
Tags: Math & Science
Publisher: Course Technology PTR
Published: 2009-04-30T21:00:00+00:00
1 + 1 + 1 + 1 + …
As the number of terms approaches infinity, the sum of the terms approaches infinity and the series diverges.
• Example: Will Series U converge?
U = 1 + 1/2 + 1/3 + … + 1/n + …
(This is called the Harmonic Series.)
Compare with the known Series K, which diverges as more terms are added.
K = 1 + 1/2 + 1/2 + 1/2 + …
To compare Series K to Series U rewrite Series K as:
K = 1 + (1/2) + (1/4 + 1/4) + (1/8 + 1/8 + 1/8 + 1/8) + …
Compare Series K to Series U term by term.
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| Algebra | Calculus |
| Combinatorics | Discrete Mathematics |
| Finite Mathematics | Fractals |
| Functional Analysis | Group Theory |
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