Sequences and Convergence Let x1 ‚ x2 ‚ ...‚ xn ‚ ... denote an infinite sequence of elements of a metric space (S‚ d). We use {xn }∞ n=1 (or simply {xn }) to denote such a sequence. Definition 1 Consider x0 ∈ S. We say that the sequence {xn } converges to x0 when n tends to infinity iff: For all > 0‚ there exists N ∈ N such that for all n > N ‚ d(xn ‚ x0 ) < We denote this convergence by lim xn = x0 or simply xn −→ x0 . n→∞ Example 2 Consider the sequence {xn } in R‚ defined by xn = n1 . Then xn
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SPEECH WRITING Introduction What every speech needs is a hook. Your audience starts off restless‚ mentally lethargic‚ and in some cases sleepy. You have to snap them out of it. If your introduction fails there’s very little chance of getting them back. Your hook can include anything from a humorous anecdote to a shocking or controversial statement. Which one you choose depends entirely on your subject matter and audience. This can follow or come before your thesis statement. Obviously‚ you want
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The Construction Sequence Although the specific sequence of construction steps varies and overlaps‚ generally we build your home in the following order: ▪ Survey ▪ Permits ▪ Sewer & Water ▪ Plan Commission ▪ Building Department ▪ Foundation ▪ Excavation ▪ Footer ▪ Form and pour walls ▪ Perimeter drain ▪ Waterproof ▪ Ground rough plumbing ▪ Basement/Crawl
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Persuasive Speech Outline Title: Cell Phones General Purpose: To persuade Specific Purpose: After hearing my speech‚ my audience will be persuaded that cell phones are an existing problem for teenagers that can be solved by collecting phones and education. INTRODUCTION I. Attention Getter: There are many various technologies materials in the world and these are become essential factors to make more stable life. People rapidly develop technology‚ so they invented TV‚ radio‚ internet
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Persuasive Speech Outline- Distracted driving Introduction – Distracted driving is a growing and dangerous problem in today’s society that can lead to accidents causing injury and even death. Risk factors with distracted driving: Talking on a cell phone while driving Younger‚ inexperienced drivers under the age of 20 may be at increased risk; they have the highest proportion of distraction-related fatal crashes. There are three main types of distraction: · Visual: taking your eyes off the
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Outline of Speech: Homelessness in America July 11‚ 2011 Introduction I. When you think of a homeless person do you think of a drug addict or an alcoholic? II. To inform my audience on homelessness and what brings a person to become homeless. III. There are many different circumstances that causes a person to become homeless it isn’t always caused by drugs or alcohol. Body I. Who is homeless? A. Families with children. 30% B. Children under 18 years old 39% C. Veterans 13%
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Informative Speech Outline Dusti Goertz COMS 101 Date Due: 9/30/2013 Organization: For this speech I will be utilizing the topical pattern. Audience analysis: Provide a description of your audience (e.g.‚ its demographics like age‚ gender‚ ethnicity‚ etc. as well as any other information about them that impacts the way you plan and present the speech (see the textbook‚ pp. 618–628). Topic: In this speech‚ I am going to describe why accountants have a bad reputation as being both boring and
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mMei Liu Outline of my first speech The person should be admired Introduction: Story: When I was a child‚ I was an extremely naughty one. As my mom told me‚ I jumped into the public swimming pool all by myself when I was 7 months old. And by that time‚ because my parents are really busy with their work‚ my grandpa Guanghan Bao was in charge of taking care of me for most of the time before I went to primary school. So personally‚ I really admire him because he helped me to survive
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Persuasive Speech Outline Example You Should Watch PBS Thesis: To persuade the audience to take advantage of the wealth of information and entertainment available on PBS. Introduction: Last night I saw three of the best movies. They were chock full of hot illicit sex‚ mystery and intrigue‚ and science fiction-like scenarios and gadgets. No‚ I didn’t check out the latest hits at my local theater‚ go to Blockbuster or even tune in to cable. I saw it ALL on public television. I only had
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Argumentative Speech Outline Title: Bike Sharing Writer/Speaker: Briones‚ Louis Joshua Introductory Paragraph A. Introductory Statement: What is bike sharing? Bike sharing is an innovative transportation program‚ Ideal for short distance point to point trips providing users ability to pick up bicycle. B. Thesis Statement: The Spiegel magazine reports that a new record has been reached‚ with 100 European cities supporting some type of bike-sharing program. Why are so far behind with this congenial
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