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11/19/2019 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign [email protected] ( sign Home My Assignments Grades out) Communication Calendar My eBooks MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 INSTRUCTOR Justin Thomas 1.6 Limits at Infinity (Homework) Springfield Public Schools.MO Current Score QUESTION 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 POINTS 3/3 3/3 3/3 3/3 3/3 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 2/2 TOTAL SCORE 31/31 100.0% Due Date JUNE 13 10:59 PM CDT Request Extension Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 1/11 11/19/2019 1. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 3/3 points Previous Answers LarHSCalc1 1.6.019.MI.SA. My Notes Ask Your Teacher This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the limit. lim 6+ x→∞ 3 x Step 1 Recall from Theorem 3.10 that if r is a positive rational number and c is any real number, then lim c r x→∞ x = 0 0 . Step 2 Using Theorem 3.10 along with Property of limits, lim x→∞ 6+ 3 x = lim 6 + lim x→∞ x→∞ 3 x = 6+ 0 = 6 0 6 . You have now completed the Master It. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 2/11 11/19/2019 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 3/3 points 2. Previous Answers LarHSCalc1 1.6.021.MI.SA. My Notes Ask Your Teacher This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the limit. lim x→∞ 11x − 4 12x + 6 Step 1 The degree of the numerator is equal to equal to the degree of the denominator. Step 2 Therefore the limit is equal to the ratio of the leading coefficients. is equal to the ratio of the leading coefficients. Step 3 11x − 4 = 12x + 6 $$1112 lim x→∞ Thus, . You have now completed the Master It. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 3/11 11/19/2019 3. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 3/3 points Previous Answers LarHSCalc1 1.6.014. My Notes Ask Your Teacher Find the given limits, if possible. f(x) = 5x2 + 2x + 5 (a) h(x) = lim h(x) = f(x) x x→∞ dne (b) h(x) = lim h(x) = f(x) x2 x→∞ 5 (c) h(x) = lim h(x) = f(x) x3 x→∞ 0 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 4/11 11/19/2019 4. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 3/3 points Previous Answers LarHSCalc1 1.6.016. My Notes Ask Your Teacher Find each limit, if possible. (a) lim x→∞ 8 − 5x 8x3 − 6 = 0 (b) lim x→∞ 8 − 5x = 8x − 6 −58 (c) lim x→∞ 8 − 5x2 = 8x − 6 dne https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 5/11 11/19/2019 5. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 3/3 points Previous Answers LarHSCalc1 1.6.018. My Notes Ask Your Teacher LarHSCalc1 1.6.020. My Notes Ask Your Teacher Find each limit if possible. (a) lim x→∞ 7x3/2 2x2 + 5 = 0 (b) lim x→∞ 7x3/2 2x3/2 + 5 = 72 (c) lim x→∞ 7x3/2 2 x +5 = dne 6. 1/1 points Previous Answers Find the limit. lim x → −∞ 6 x − x 8 dne https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 6/11 11/19/2019 7. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 1/1 points Previous Answers LarHSCalc1 1.6.021.MI. My Notes Ask Your Teacher LarHSCalc1 1.6.023. My Notes Ask Your Teacher LarHSCalc1 1.6.024. My Notes Ask Your Teacher Find the limit. lim x→∞ 2x − 8 3x + 1 23 8. 1/1 points Previous Answers Find the limit. lim 4x5 x → ∞ x5 − 6 4 9. 1/1 points Previous Answers Find the limit. lim 9x3 + 1 x → −∞ 45x3 − 3x2 + 4 15 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 7/11 11/19/2019 10. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 1/1 points Previous Answers LarHSCalc1 1.6.025. My Notes Ask Your Teacher LarHSCalc1 1.6.029. My Notes Ask Your Teacher LarHSCalc1 1.6.030. My Notes Ask Your Teacher Find the limit. x lim x2 − x x→−∞ −1 1/1 points 11. Previous Answers Find the limit. lim x→∞ x2 − 2 6x−6 16 12. 1/1 points Previous Answers Find the limit. lim x → −∞ x14 − 1 x9 − 1 0 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 8/11 11/19/2019 13. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 1/1 points Previous Answers LarHSCalc1 1.6.031. My Notes Ask Your Teacher LarHSCalc1 1.6.033. My Notes Ask Your Teacher LarHSCalc1 1.6.034. My Notes Ask Your Teacher Find the limit. lim x→∞ x+9 (x2 + 8)1/3 dne 14. 1/1 points Previous Answers Find the limit. lim x→∞ 4 2x + sin x 0 15. 1/1 points Previous Answers Find the limit. lim 4 cos x→∞ 8 5x 4 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 9/11 11/19/2019 16. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 1/1 points Previous Answers LarHSCalc1 1.6.035. My Notes Ask Your Teacher LarHSCalc1 1.6.036. My Notes Ask Your Teacher LarHSCalc1 1.6.049. My Notes Ask Your Teacher Find the limit. lim x→∞ sin(7 x) x 0 17. 1/1 points Previous Answers Find the limit. lim x→∞ 6x − cos x x 6 18. 1/1 points Previous Answers Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.) lim x sin x→∞ 5 x 5 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 10/11 11/19/2019 19. 1.6 Limits at Infinity - MASTER - AP Calculus AB 19-20, section Calc AB (Sem 1) FA20 | WebAssign 1/1 points Previous Answers LarHSCalc1 1.6.050.MI. My Notes Ask Your Teacher My Notes Ask Your Teacher Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.) lim 4x tan x→∞ 5 x 20 20. 2/2 points Previous Answers LarHSCalc1 1.6.JIT.002. Find all horizontal and vertical asymptotes (if any). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) r(x) = 6x3 − 2 2x3 + 5x2 + 9x 0 vertical asymptote(s) x= 3 horizontal asymptote(s) y= Submit Assignment Home Save Assignment Progress My Assignments Copyright Extension Request 2019 Cengage Learning, Inc. All Rights Reserved https://www.webassign.net/web/Student/Assignment-Responses/last?dep=20896607 11/11