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Solved: 5051. Definition of a limit at infinity The limit

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs ISBN: 9780321947345 167

Solution for problem 51 Chapter 2.7

Calculus: Early Transcendentals | 2nd Edition

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Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Calculus: Early Transcendentals | 2nd Edition

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Problem 51

5051. Definition of a limit at infinity The limit at infinity lim xS f 1x2 = L means that for any e 7 0 there exists N 7 0 such that f 1x2 - L 6 e whenever x 7 N. Use this definition to prove the following statements. lim xS_ 2x + 1 x = 2

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Chapter 6 Connecting Listening and Thinking in the Communication Process Listening What is difference b/t hearing and listening  Listening is understanding/paying attention  active process  Listening is a cognitive activity that’s is an active process of receiving, constructing meaning from,  Hearing is the passive physiological process Benefits of good listening skills:  Classroom  learning  It’s polite  It’s a practice  youre going to have to do this all throughout life (meetings) Poor listening skills:  Don’t know what is going on  Most misunderstandings in our lives occur b/c of poor listening habits  Better listeners now as opposed to 30 years ago  worse probably bc of phones (misunderstandings) Importnace of effective listening  Technology and devices cause interruptions and distractions  50% of time is spent listening (as a college student) 7 stages to effective listening  Listening is complex  1. Sensing o Accurate reception of sound attention o Listening is effected by all of your senses  2. Information processing – you’ve already sensed the message o evaluation  analyzes evidence and sorts fact from opinions (differentiation) o interpretation  understanding the message from speakers point of view o understanding  3. Remembering o short term and long term o retain the info and give it back o when listening its good to take notes b/c it helps with memory o construct mnueonics  4. Thinking  5. Interpreting  6. Evaluating  7. Responding and sending feedback o verbal, meaningful feedback  once you hear it, steps 2-6 happen all at once  step 7 is the “loop” process 4 functions of listening  Listening to obtain info o Lectures  Listening to evaluate o Business proposal o Driving to car and getting close to a train track  Listening with empathy o A friend venting o Empathy is the identification or experiencing of feelings, thoughts, or attitudes of another o Empathic listening: listening to understand another person o This is the most natural form o Reflect and clarify feelings by perception checking (sensing step/ you’re going to know if something is wrong)  Listening for enjoyment o Music Barriers to effective listening/the seven steps  Technology  Fatigue  Speaker can distract  Topic problems (boring)  Concentrating on details, not main ideas  Faking attention  Bias and prejudice  Avoiding difficult listening situations Critical Listening and Critical Thinking  To critically think we must be able to critically listen  Critical listening  judging the accuracy of the message  Critical thinking  ability to analyze and assess information  Assessing the speaker’s motivation  every speaker has a motivation  Judging the accuracy of the speaker’s conclusion o Is the speaker qualified  People who compulsively lie/someone you already don’t like Steps to improve Listening Competence st  1 recognize that it is important o recognize the importance of listening effectively  2 ndthink of listening as an active process rd  3 recognize that a willingness to work and a desire to improve are essential to increase listening effectiveness  4 behave like a good listener tho Fake it till you make it  5 take good notes o Not just a regurgitation th  6 if you don’t understand  ask questions to clarify information Intercultural Listening  Chinese symbol  people must listen with their entire beings  Similarities and differences in listening in all cultures: best advice  respectively ask questions and be aware of cultural differences  Listening requires energy and commitment Chapter 6 Connecting Listening and Thinking in the Communication Process Listening What is difference b/t hearing and listening  Listening is understanding/paying attention  active process  Listening is a cognitive activity that’s is an active process of receiving, constructing meaning from,  Hearing is the passive physiological process Benefits of good listening skills:  Classroom  learning  It’s polite  It’s a practice  youre going to have to do this all throughout life (meetings) Poor listening skills:  Don’t know what is going on  Most misunderstandings in our lives occur b/c of poor listening habits  Better listeners now as opposed to 30 years ago  worse probably bc of phones (misunderstandings) Importnace of effective listening  Technology and devices cause interruptions and distractions  50% of time is spent listening (as a college student) 7 stages to effective listening  Listening is complex  1. Sensing o Accurate reception of sound attention o Listening is effected by all of your senses  2. Information processing – you’ve already sensed the message o evaluation  analyzes evidence and sorts fact from opinions (differentiation) o interpretation  understanding the message from speakers point of view o understanding  3. Remembering o short term and long term o retain the info and give it back o when listening its good to take notes b/c it helps with memory o construct mnueonics  4. Thinking  5. Interpreting  6. Evaluating  7. Responding and sending feedback o verbal, meaningful feedback  once you hear it, steps 2-6 happen all at once  step 7 is the “loop” process 4 functions of listening  Listening to obtain info o Lectures  Listening to evaluate o Business proposal o Driving to car and getting close to a train track  Listening with empathy o A friend venting o Empathy is the identification or experiencing of feelings, thoughts, or attitudes of another o Empathic listening: listening to understand another person o This is the most natural form o Reflect and clarify feelings by perception checking (sensing step/ you’re going to know if something is wrong)  Listening for enjoyment o Music Barriers to effective listening/the seven steps  Technology  Fatigue  Speaker can distract  Topic problems (boring)  Concentrating on details, not main ideas  Faking attention  Bias and prejudice  Avoiding difficult listening situations Critical Listening and Critical Thinking  To critically think we must be able to critically listen  Critical listening  judging the accuracy of the message  Critical thinking  ability to analyze and assess information  Assessing the speaker’s motivation  every speaker has a motivation  Judging the accuracy of the speaker’s conclusion o Is the speaker qualified  People who compulsively lie/someone you already don’t like Steps to improve Listening Competence st  1 recognize that it is important o recognize the importance of listening effectively  2 ndthink of listening as an active process rd  3 recognize that a willingness to work and a desire to improve are essential to increase listening effectiveness  4 behave like a good listener tho Fake it till you make it  5 take good notes o Not just a regurgitation th  6 if you don’t understand  ask questions to clarify information Intercultural Listening  Chinese symbol  people must listen with their entire beings  Similarities and differences in listening in all cultures: best advice  respectively ask questions and be aware of cultural differences  Listening requires energy and commitment

Step 2 of 3

Chapter 2.7, Problem 51 is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

The full step-by-step solution to problem: 51 from chapter: 2.7 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Since the solution to 51 from 2.7 chapter was answered, more than 241 students have viewed the full step-by-step answer. The answer to “5051. Definition of a limit at infinity The limit at infinity lim xS f 1x2 = L means that for any e 7 0 there exists N 7 0 such that f 1x2 - L 6 e whenever x 7 N. Use this definition to prove the following statements. lim xS_ 2x + 1 x = 2” is broken down into a number of easy to follow steps, and 57 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions.

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Solved: 5051. Definition of a limit at infinity The limit