Limit Theory image attached 1. Let f(r): , We are interested in verifying that lim f(r) 3.1/3(a) Sketch an accurate graph of f over the domain (0, 2). (You will want a big enoughpicture.)(b) Let e = 1. On the same graph, sketch an error tube about the line y = 3 that wouldbe helpful in evaluating the limit.(c) Solve the equations f(r) = 3-e and f(r) = 3+ c. Which solution is closer toI= 1/3? Demonstrate this on your picture.(d) Given e =1 find a & such that if r- 1/3 <6 then E- 3 0, where e is small. On the same graph., sketch an error tube about theline y = 3 that would be helpful in evaluating the limit.ii. Sketch an accurate graph of f over the domain (0, 2). (You will want a bigenough picture.)iii. Solve the equations f(r) = 3-e and f(r) = 3+e. Mathematically justifywhich solution is closer tor=1/3? Demonstrate this on your picture.iv. Given an e>0 find a & such that if r-1/3| < 8 then -3 < e. Justify youranswer using your work in (iii). (You do not need to state a formal proof. Justjustify that your o works.)

1. Let f(r) := We are interested in verifying that lim f(r) 3. r1/3 (a) Sketch an accurate graph of f over the domain (0, 2). (You will want a big enough picture.) (b) Let e = 1. On the same graph, sketch an error tube about the line y = 3 that would %3D be helpful in evaluating the limnit. (c) Solve the equations f(r) = 3-e and f(r) = 3 +c. Which solution is closer to %3D I= 1/3? Demonstrate this on your picture. (d) Given e = 1 find a o such that if r - 1/3 < 6 then - – 3

1. Let f(r) := We are interested in verifying that lim f(r) 3. r1/3 (a) Sketch an accurate graph of f over the domain (0, 2). (You will want a big enough picture.) (b) Let e = 1. On the same graph, sketch an error tube about the line y = 3 that would %3D be helpful in evaluating the limnit. (c) Solve the equations f(r) = 3-e and f(r) = 3 +c. Which solution is closer to %3D I= 1/3? Demonstrate this on your picture. (d) Given e = 1 find a o such that if r - 1/3 < 6 then - – 3

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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