想問一下這幾題是甚麼概念謝謝😇😇 第23題答案是B 第19題答案是D

The Internet has replaced books as a major source of information for Taiwanese primary school students, according to a recent survey. The survey was conducted last December, and it that 77 percent of the students considered the Internet to be the most convenient source of information. 14 percent of the respondents said they often 7 books for information instead of going online. Of all the students surveyed, 27 percent said they had never used the 18 The survey randomly selected 4,200 students in 26 primary schools in investigate their reading habits. A total of 4,017 questionnaires were properly 20 parts of Taiwan to by the respondents. According to the survey, five percent of the school children indicated that they did not read any reading materials. Of those who read such materials, 25 percent liked to read comics, 20 percent fables and stories, 15 percent books on natural sciences, and 12.3 percent books on technology. The survey indicated that 45 percent of the school children read at least five books every month; 45 percent of them read less than three per month. (A)took (B)put (C)knew (D)found (A)used up (B)went off (C)turned to (D)made into (A)Net (B)survey (C)books (D)respondents (A)various (B)convenient (C)youthful (D)routine 20((A)taken in (B)given off (C)filled out (D)picked on (D)(A)story (B)comic (C)technology (D)extracurricular 2( )(A)thus (B)further (C)otherwise (D)for instance (A)other (B)another (C)others' (D)the other's 課堂筆記:

第24題為什麼選c

Ar 20. (A) into 第21 至 25 題為題組 Hair usually gets greasy when it has not been washed because it soaks up oil-hence the need for shampoo! 21 this oil-absorbing feature might not always be so great for our hygiene, it can be great for the environment. (A) equipment Matter of Trust, a nonprofit organization, has an innovative solution for removing the large-scale oil 10 26 spill in the Gulf of Mexico in 2010, using the ultimate renewable 22 human hair, of which there is an unlimited supply. Since its founding in 1998, Matter of Trust has collected donations of human hair and animal fur to 23 the thousands of oil spills that happen each year. The hair and fur are made into mats and brooms and sent to 24 waters to absorb the oil. √2B (A). №24. (B) without Across the United States each day, 300,000 pounds of hair and fur are cut. Matter of Trust is helping organize the collection of this 25 hair and fur through thousands of salons, pet groomers, and ranchers. Individuals can also speak to local hair stylists and pet groomers about sending in leftover hair and fur. 21. (A) For B (B) While (C) In case (D) As long as (C) product (B) ingredient (B) clean up after (D) resource 鄙視 (D) look down upon (C) run out of (B) polluting (C) polluted (D) pollution (B) overthrown (C) excluded (D) disconnected get away with (C) under 24. (A) pollute (D) beyond 25. (A) unneeded T - 2 -

求解25、29跟32

108 13. lim 15. lim 17. lim 19. lim 818 21. lim x18 CHAPTER 2 23. lim 31² + aitab od n61² + 1 - 5 lin 1³ - 4t + 1 14. lim 9-2/² n r - p³ 2² + 3r³ 4-√√√x 2 + √√x √x + 3x² 4x 1 √1 + 4x6 2-x² (12 saior,558) 2x5 - X x→→∞ x² + 3 26. lim (√x² + ax X-8 27. lim (x - √x) x →8 25. lim (√25t² + 2 − 5t) 1900 29. lim (e-2x cos x) X18 31. lim esec x X→(π/2) + - L 33. (a) For f(r) = LIMITS AND DERIVATIVES OT32 X M mbinogest 20 16. lim 18. 3x³8x + 2 x→∞ 4x²³5x² - 2 20. lim 1-8 lim →20 22. lim 8118 yd boonlqs ei 24. lim √x² + bx) 32. lim [ln(1 + x²) − In(1+x)] - x18 (u² + 1)(2u² - (u² + 2)² t + 3 odme 30. lim √21² - 1 √√1 + 4x6 2 - x² ledre att n q³ + 69 - 4 q→∞ 4q² − 3q + 3 SO 28. lim (x² + 2x²) 8118 1- e* *→∞ 1 + 2e*

求這題

zu dopted limit = 3 470 + fixo) nino Let f: R→ R, f(x + h) = f(x)f(h) and f(0) 0. Prove that (a) f(0) = 1 and [(b) if f'(0) exists, then f'(x) does exist for all x ER and f'(x) ƒ(x) · ƒ'(0). x² cos x sinx

求解找極限函數值或者為什麼不存在，還有想問x->-3右上的正號與x->-3有甚麼區別？還有b連題目都不太了解要求什麼,c的話有哪些不是連續的？求求各位大神了🙏

20. The graph of f is given. (a) Find each limit, or explain why it does not exist. (i)_lim_ƒ(x) x−2+ (ii) lim_ f(x) x--3+ (iii) lim f(x) x--3 (iv) lim f(x) X→4 (v) lim f(x) x->0 0 (vi) lim f(x) x→2- (b) State the equations of the vertical asymptotes. (c) At what numbers is f discontinuous? Explain.

（大一微積分） 請問這題這樣寫正確嗎？背流程寫的😅，圖一為需用到的定義 正確的話，想問紅色圈圈的1是怎麼來的？

DEFINITION Let f be a function defined on some open interval that con- tains the number a, except possibly at a itself. Then we say that the limit of f(x) as x approaches a is L, and we write lim f(x) = L x→a if for every number &> 0 there is a corresponding number 8 >0 such that | ƒ(x) − L| < ɛ if 0 < x-a <8 then

求這三題（不是很確定答案）

10. Evaluate the following limit: -1 (a) lim lim (1+¹) (c) lim (6--/-) x x→0+ x3 (b) lim x+1-(x - 1)² 9. x1-41-31-21|-||0|||2|3|4

想問第42題

25. lim 8118 27. lim X18 A 29. lim 31. lim 33. lim √x - √√x x→→∞ √√√x + √√x 35. lim 2x²/3 - x1/3 + 7 xxx x8/5 + 3x + √x 37. lim x→∞ x + 1 39. lim x - 3 x→∞ √4x² + 25 1 x→0+ 3x 1-x² 2√x + x¹ 3x - 7 41. lim 1. 2 X-2 X- 43. lim √x² + 1 45. a. lim 3 2x x-8+ x + 8 + 7x 4 x→7 (x-7)² 2 2 46. a. lim x-0+ x1/5 4 2 x-0+ 3x¹/3 B Infinite Limits Find the limits in Exercises 37-48. Write ∞ or -∞ where appropriate. 5 x →0-2x x - 3x 26. lim√√³+x-2 b. lim 2 + √x x→∞ 2 - √x 28. lim 30. lim x¹ + x4 x-xxx-²-x-3 32. lim Vì - 5x + 3 x-∞ 2x + x2/3 - 4 34. lim 36. lim 2 x→0 3x¹/3 xxx +1 2 b. lim x→0 x1/5 4 - 3x3 x-∞ √6 +9 38. lim 40. lim √x² + 1 42. lim x-3x - 3 3x x-5-2x + 10 44. lim -1 x→0 x²(x + 1) 19 lime 1

請問第16、17要怎麼作答

It's widely known that bees are important for our ecosystem and that they are facing increasing threats from modern agricultural practices involving pesticides. What many of us don't know, 16. (is that some industries should shoulder a bigger share of blame than they're given.) The almond industry, for instance, has quite an adverse impact on bee colonies. One potential harm to bee colonies is the stress caused by transporting them over long distances to almond orchards for the task of pollination. This transportation can be stressful for the bees, hence 17. them more vulnerable to diseases and pests. Moreover, since they're 18. having limited food sources aside from almond flowers further weakens bee colonies. Still another problem is the of honeybees to pesticides and other chemicals used in almond production. 19. 20. and One sustainable solution is to make habitats and species within almond orchards more stable. By creating various ecosystems and introducing other insects among almond trees, at least we can ensure enough food supply for bees and even lower the use of pesticides for almond trees in the long run. A 16. (A) therefore (B) however C17. (A) make A (B) made 18. (A) faced with a great increase in demand (C) looked after by beekeepers carefully (B) delivery 19. (A) cultivation 2 (C) in addition (D) for a start (C) making (D) to make (B) raised in their natural environment (D) physically removed from their habitat (C) exposure (D) restriction asant (D) particular

求解第二題！ （因為圖片要兩題一起看所以順便拍進來了）

§ 1.1 An Intuitive Introduction to Limits For Exercises 1 and 2, use the graph of the function f to determine whether each statement is true or false. Explain.(從圖形決定極限) 1. O lim f(x)=XX/ x→-3+ lim f(x) = 1. x→2 2. a) lim f(x)=1. x-→-3+ e) lim f(x) does not exist. x →4+ c) lim f(x) = 2. x->2 b) lim x->0 flim f(x) = 3. x-5 d) lim f(x) = 3. x-4 f(x) = 2. Xe) lim f(x) does not exist. x →3 lim f(x) = 2. X→4 S b) lim f(x) = f(0). x->>0 d) lim f(x)=3. x->2* y 4 3 234 y = f(x)