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数学 大学生・専門学校生・社会人

例1.5の波線のところがわからないです お願いします

連続 A.1 1.2 数列の極限 13 極めて近いところにいる,ということを述べている (図 1.1 を参照せよ) この番号 no は一般にに依存しており,eを小さくすると,それに応じて no は大きくとらな ければならない. したがって, no = no (e) と書いておくとわかりやすいであろう. a - ea ate + + ↓ n ≧ no ならば an は常にこの区間内にある 図 1.1 極限 α = lim an の概念図 縦線は数列の各項 an を表す. n→∞ ここでは記号を用いて数列の収束を定義したが, その定義に従って記号を 用いて) 数列の収束を議論する論法は論法あるいは e-N論法とよばれている. 1 n→∞n 例 1.5 直感的には自明な極限 lim = 0 は, Archimedes の公理 (定理 1.2) り論理的に厳密に導くことができる.実際, 任意の > 0に対して (a=1,6=e と して) 定理 1.2 を用いると, 1 < noe を満たす自然数no が存在することがわかる. このとき, no を満たす任意の自然数nに対して, 1 < no ≤ne が成り立つの で,この両辺をxで割ると 0</m/ <e, それゆえ |-- 0 <e が成り立つ.以上の ことをまとめると, t VE 03 € NVn EN n (n ≥ no ⇒ = 1 - 0 | << e) n 1 が成り立つことが示された. したがって, lim 20が成り立つ. n→∞n こんな当たり前なことをなぜ難しい論理記号を用いて証明するのか?という疑問 をもつ人も多いであろう.しかし,このような e-N論法を用いないと証明するのが 非常に困難になるような問題も多数ある. そのような問題の一例としてよく引き合 いに出されるのが次の例である. 例 1.6 lim an = ( αならば次式が成り立つ. 818 a1+a2+..+? No. Date

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英語 高校生

進行形の自制のの使い分けがわかりません

LESSON Practice ysteemori s 101 yiqqs II'I 8 1 Fill in the blanks and complete the sentences. msigo1q 1. Next Monday, our class visit a local farm. 来週の月曜日に私たちのクラスは地元の農場を訪問します. )()( 2. We ( ) help harvest vegetables and fruits there. みんなでそこで, 野菜や果物の収穫を手伝う予定です. 3. We ( ) ( ) to the library to do some research on organic farming today. 今日,有機農法について調べるために図書館に行く予定です. 4. We( )( )(b) the vegetables in our home economics class next Wednesday. 来週の水曜日には,私たちは家庭科の授業で野菜を調理しているでしょう. 2 Put the words in the correct order to complete the sentences. 1. [ starts/ceremony / ten o'clock / the graduation/at] tomorrow. 卒業式は明日10時に始まります. 2.[going/afarewell speech / to / am/ give / I ] in front of all the graduating students. 私は卒業生全員の前でお別れのスピーチをする予定です. 3. Today after school, [ practicing/my/I/ the speech/with/am/homeroom teacher ]. 今日の放課後,担任の先生と一緒にスピーチの練習をする予定です. 4. I hope that [ everyone / will / speech/inspire/ my ] on this important day. この大切な日に、 私のスピーチがみんなを元気づけることを願っています。 3 Put the Japanese parts of the passage into English. Genre ① 今年の修学旅行は9月22日に始まります. The destination is Kyoto, and ② 私たちはた たくさんの有名な神社や寺を訪ねる予定です. ③9月24日に雨が降らなければ,私たちは鴨川沿い のレストランで夕食をとります. It is called Kawayuka cuisine, and it is a part of Kyoto's culture. Next week, special classes about Kyoto will be offered. ② 来週の今ごろには私た ちは京都の歴史と文化を勉強しているでしょう. 鴨川沿いの along the Kamo River

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英語 高校生

この答えを教えて欲しいです。🙇‍♀️

Level Passage : 2:30 Lesson 5 Jet Reading 22 ⑤ Questions: 2:00 Compared to dogs and other pet animals, cats often have lots of freedom. Many owners let their pet cats go outside whenever they want to. But where do they go? Does your cat visit your neighbor's house for extra food? How far from home does your cat actually travel? Cat owners have been wondering about such questions for a long time. 5 To find out where cats go and what they do, researchers decided to track them by putting a GPS (Global Positioning System) device around their neck. It is well known that cats are natural hunters. They often chase and catch *wildlife, such as birds and other small animals. It was therefore believed Hoor war301 that cats may go far from their homes to hunt. However, the research showed some surprising facts about cat *behavior. It seems that most cats 10 don't travel very far from their homes. On average, they move around two houses away. Owners were *relieved to hear this result because it confirmed that their cats do not cross major roads. There was another interesting result. One female cat walked more than 1 kilometer from her home. When the owner checked her GPS data, they discovered that the cat had gone to their old house. It showed that cats remember the past longer and more clearly than we think.(219 words) *wildlife 44 *relieve ~を安心させる *behavior Infogt) A Choose the best options. (2 points x2) According to the passage, which of the following statements are true about cats? (Choose two options. The order does not matter.) so svom i da a. They enjoy more freedom than other pet animals. imove sill niw nuo exentabilt o b. A GPS device was put around a cat's tail by researchers. c. They go far from their homes to hunt wildlife. Sanino sasd Juoda su v d. The research proved that most cats cross major roads. of Inboq bow it bean 17 s e. They may remember the past more clearly than we expect. Bewe )( B Fill in each blank with a suitable word. (2 points x3) ******* ******** Many owners let their cats go (¹ ), but no one exactly knew where they went and what ) the cats by using a GPS device. they did. In order to find this out, researchers decided to (² maswid Bai As a result, they learned that most cats didn't travel very far from their homes. One cat, however, walked more than 1 kilometer from its home. It turned out that it had (3 shows that cats have a better memory than people thought. ) its old house. This result sal al commaly to pound How Judw grinidman [catch/ forgotten / visited / outside /track/inside] Time ☆ ~1:45 ~2:00 ~2:15 ~2:30 ~2:45 ~3:00-3:30 Reading Speed X WPM 125 109 97 88 80 73 63 /10 Name Class No. 10 2015

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