Monotonic sequences - Study guides, Class notes & Summaries

Functions 1 1.1 Functions and Their Graphs 1 1.2 Combining Functions; Shifting and Scaling Graphs 8 1.3 Trigonometric Functions 19 1.4 Graphing with Calculators and Computers 26 Practice Exercises 30 Additional and Advanced Exercises 38 2 Limits and Continuity 43 2.1 Rates of Change and Tangents to Curves 43 2.2 Limit of a Function and Limit Laws 46 2.3 The Precise Definition of a Limit 55 2.4 One-Sided Limits 63 2.5 Continuity 67 2.6 Limits Involving Infinity; Asymptotes of Graphs ...

description here for math 227 (uc/csu math 221) follows chapter 9: Infinite Series from CALCULUS: Early Transcendental Functions (ISBN-10: 1337888958)

Sequences - a sequence is a function which takes the natural numbers as its domain Monotonic Sequence - A sequence that is increasing or decreasing Geometric Series Formula - Sn=a1(1-r^n)/(1-r) Telescopic Series - see pic Divergence Test - lim_(k->infinity) [a_k] doesn't equal zero, then the series Σa_k must diverge Harmonic Series - diverges Comparison Test - If 0≤An≤bn and if ∑bn converges, then ∑An converges Limit Comparison Test - if lim as n approaches ∞ of ratio of ...

Complete BC Calculus Review Notes from 2020-2021. Covers the following subjects: Sequences & Series (bounded, monotonic, convergent vs divergent), Integrals (integral tests, improper integrals), Derivatives (how to derive, derivative tests, optimization), Calculus Applications, Graphing, and Limits.

Sequences - a sequence is a function which takes the natural numbers as its domain Monotonic Sequence - A sequence that is increasing or decreasing Geometric Series Formula - Sn=a1(1-r^n)/(1-r) Telescopic Series - see pic Divergence Test - lim_(k->infinity) [a_k] doesn't equal zero, then the series Σa_k must diverge Harmonic Series - diverges Comparison Test - If 0≤An≤bn and if ∑bn converges, then ∑An converges Limit Comparison Test - if lim as n approaches ∞ of ratio of ...

Sequences - a sequence is a function which takes the natural numbers as its domain Monotonic Sequence - A sequence that is increasing or decreasing Geometric Series Formula - Sn=a1(1-r^n)/(1-r) Telescopic Series - see pic

These are the notes I took during freshman year of college while taking Calculus 2. Included in these notes are the 2nd of 4 sets of notes I have from the course. I used these as a secondary resource to complete assignments and study for the final exam. My notes were also helpful to classmates. This pdf includes notes taken on topics: - Trigonometric Intervals - Improper Integrals - Arc Length - Surface Area - Sequences - Using Limits - Monotonic & Bounded Sequences - Absolute...

In class notes from MATH152. This section begins the discussion of sequences and series.