i want answer quastion with yellow color EXERCISES 1.5are never crossed. Explain why horizontal or slant asymp-totes may, in fact, be crossed any number of times: draw oneexample.NWRITING EXERCISES1. It may seem odd that we use o in describing limits but do notcount oo as a real number. Discuss the existence of oc: is it anumber or a concept?2. In example 5.7, we dealt with the "indeterminate form"Thinking of a limit of oo as meaning "getting very large" anda limit of 0 as meaning "getting very close to 0," explain whythe following are indeterminate forms: , . 00 - oo, and00 - 0. Determine what the following non-indeterminate formsrepresent: 00 + 0o, -00 - oo, 00 +0 and 0/0o.In exercises 1-4, determine (a) lim f(x) (b) lim f(x) and(c) lim f(x) (answer as appropriate, with a number, oo,-00or does not exist).1- 2ra =1x -11- 2x1. fx) =2. fx) =a = -Ix2 -13. On your computer or calculator, graph y = 1/(r - 2) and lookfor the horizontal asymptote y = 0 and the vertical asymptote* = 2. Many computers will draw a vertical line at x = 2 andwill show the graph completely flattening out at y = 0 for largex's. Is this accurate? misleading? Most computers will computethe locations of points for adjacent x's and try to connect thepoints with a line segment. Why might this result in a verticalline at the location of a vertical asymptote?x-41-x3. f(x) =- 4x +4a=2 4. f) = r+ 1In exercises 5-22, determine each limit (answer as appropriate,with a number, oo,-00 or does not exist).x +2x - 1x-47. lim cot x5. lim6. lim (x - 2x - 3)2/34. Many students learn that asymptotes are lines that the graphgets closer and closer to without ever reaching. This is true formany asymptotes, but not all. Explain why vertical asymptotes8. lim x sec'x/2104CHAPTER I Limits and Continuity1-400.00016C/Users/96658/Desktop/redh/Smith - Calculus_Early_Transcendejuai+ -104CHAPTER I . Limits and Continuity1-40x2+ 3x - 22x -x+1A 38. Graph the velocity function in exercise 37 with k = 0.00016(representing a headfirst dive) and estimate how long it takes forthe diver to reach a speed equal to 90% of the limiting velocity.Repeat with k = 0.001 (representing a spread-eagle position).9. lim3x2 + 4x - 110. lim1 4x - 3r - 12x -111. lim12. limI 4x - 5x - 1- V4 +x²13. lim In14. lim In(x sin x)In exercises 39-48, use graphical and numerical evidence toconjecture a value for the indicated limit.15. lim e2/16. lim etr+l+2In(x + 2)In(2 +)39. lim40, limIn(x + 3x + 3)In(1+ er)17. lim cot x18. lim secx +1- 4x + 721 +7x+119. lim sin(e-1/41. lim2x2 +x cos x42. lim20. lim sin(tanx)x -x sinxx+ 4x +521. lim e tan22. lim tan(In x)43. lim44. lim (e/ -x*)e/2In x46. lime - 145. limIn exercises 23-28, determine all horizontal and vertical asymp-47. limxh48. lim xtotes. For each side of each vertical asymptote, determinewhether f(x) - 0o or f(x) - -0o.23. (a) f(x) =-4-x(b) f(x) =4-xIn exercises 49 and 50, use graphical and numerical evidence toconjecture the value of the limit. Then, verify your conjectureby finding the limit exactly.24. (a) f(x) =(b) f(x) =V4+xV4 -x23x +125. f(x)= - 2x -31-x26. f(x) = +x- 249.lim (V4x? - 2x +1- 2r) (Hint: Multiply and divide by the27. f(x) = 4 tanx - 128. f(x) = In(1 - cos x)conjugate expression: 4x - 2x +I+2x and simplify.)50. lim (v5x? + 4x +7- V5x? +x + 3) (See the hint for

note :As per the instructions we will only answer the highlighted parts.As per the question we have…

1. f(x)= 3. f(x)= 1-2r 2²-1¹ x-4 x²-4x+41 a = 1 x² + 2x-1 5. lim 7. lim cotx. 1-40 2²-4 1-2x 2. f(x)= 4. f(x)= a=2 1-x (x + 1)2² In exercises 5-22, determine each limit (answer as appropriate, with a number, ∞, -o or does not exist). a=-1 a=-1 6. lim (x²-2x-3)-2/3 8. lim xsec³ x

1. f(x)= 3. f(x)= 1-2r 2²-1¹ x-4 x²-4x+41 a = 1 x² + 2x-1 5. lim 7. lim cotx. 1-40 2²-4 1-2x 2. f(x)= 4. f(x)= a=2 1-x (x + 1)2² In exercises 5-22, determine each limit (answer as appropriate, with a number, ∞, -o or does not exist). a=-1 a=-1 6. lim (x²-2x-3)-2/3 8. lim xsec³ x

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...

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a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?