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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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TOEIC・英語 大学生・専門学校生・社会人

①と②の2から6がわからないです。 助けてください😭

0 英語の文をつくるときに大切なことをまとめてみよう。つぎの( )の中に入る文法に関す ることばとして適当なものはどれか。下の口 (2度使うものもある)(20点) から選び、記号で答えなさい。 v o 山W 8 英語の文は主語と(1 )の中心である( 2 )を骨組みとしてつくられる。 同時に他の(3)である( 4 )や( 5 )が動詞の後に必要かどうかも大切で ある。文の要素ではない( 6 )はそぎ落として文の骨組みをつかむことも大 切である。さらに( 7 )が担っている5つの(8 )に関する情報や( 9)、 (10 )という情報にも注意したい。 1)ef l are エ、補語 ア、目的語 カ、文の要素 イ、述語 文、動詞 オ、「とき」 キ、能動態 ク、受動態 ケ、修飾語 s ) 11ho ( 1 ) am lam-8 [og Lo put [b upY T つぎのそれぞれの文の( )に最も適する動詞を下の口 から選び、記号 で答えなさい。(1度だけ使うこと 使わない語がある先頭に入る語も小文字にしてある) (20点) alisrio lest 8 )from a cold in a few days. 1、You will ( 2、I noticed bleeding when I ( ). 3、Is anything ( )you lately at work or at home? )you allergic to any medications? 5、It will( )over soon. 6、Nothing could () my mind at rest. 7、Please( 8、Three passengers were ( )with the new coronavirus. 9、Do you() all over ? 10、My father has ( ) sick for a week. )me your regular dose. カ、 feel サ、bothering オ、are 、 cell ウ、recover エ、set naatad p. コ、urinated heen

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TOEIC・英語 大学生・専門学校生・社会人

このプリントの日本語訳を教えてください

未習長文D インフォメーションリスト |adopt medicine to start to deal with or think about something ina particular wav 1. a substance used for treating an illness, especially a liquid you drink the treatment and study of illnesses and injuries 2. to depend on someone to provide help, advice, etc. to think that you are better than someone else, for example because you are more sucessful, or of a higher social lass than they are fair and sensible look to look down on reasonable can/could afford people were better off using It would be better for people to use traditional traditional medicine rather than medicine rather than having no medicine. no medicine at all. establish to have enough money to buy or pay for something to start a company, organization, system, etc. that is intended to exist or continue for a long time 1.(n) the work of a doctor or lawyer, or the place where they work 2.(v) to use a particular method or custom the act of starting an organization, relationship, or system the process or fact of being received as adequate, valid, or suitable practice establishment acceptance a small creature such as a fly or ant, that has six legs, and sometimes wings anything that is living, such as an animal, fish, or insect, but not a plant a plant like a small onion, used in cooking to give a strong insect creature garlic taste bacteria very small living things, some of which causes illness or disease a chemical substance found in your blood. cholesterol in your blood may cause heart disease. to absorb something into the body, for example by breathing or swallowing a scientific test done to find out how something reacts under certain conditions, or to find out if a particular idea is true (v) to make something less dense or numerous look at something again closely if someone has a stroke, an artery (tube carrying blood) in their brain suddenly bursts or becomes blocked, so that they may not real or not made of natural things but made to be like something that is real or natural a substance used in chemistary or produced by achemical cholesterol Too much take in experiment thin take a second look at stroke die or be unable to use some muscles artificial chemical process to help to make something happen to help to make something happen Contribute think highly of o place Migh value on

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TOEIC・英語 大学生・専門学校生・社会人

このプリントの日本語訳を教えてください

未習長文B インフォメーションリスト Your conclusion varies from mine. Vary the ability to know something by using your feelings rather than considering the facts the ability to think in a logical way and understand things, especially at an advanced level intuition intellect represent Dots on the map represent towns. adaptable easily adaptable to individual needs symbolize Orange symbolizes pride. ambition an ambition for success primitive a primitive tribe fertile (of land or soil) that plants grow well in a ceremony that is always performed in the same way, in order to mark an important religious or social occasion a ceremony performed by a particular group of people, often for religious ritual rite purposes 未習長文C インフォメーションリスト depression certainly stay close allow feel depression on hearing the news Certainly well consider your suggestion. Stay close to me. allow him to go out need a need to be loved self-esteem a man with low self-esteem attract attract his attention Consider the problem seriously win popularity Compare Japan to China a comparison of temperature in Osaka and Hokkaido Iwalk with my pet to motivate myself to lose weight. Her novels tend to be boring. Iwould rather walk than go by car. Consider popularity Compare Comparison motivate tend to WOuld rather Athan B make a good impression on him Drinking is bad for your health, but smoking is worse. This tool is valuable for sleeping in a forest. I keep in touch with my parents by E-mail To decrease your stress at work, avoid wasting time. post pictures on twitter impression Worse valuable keep in touch with decrease post

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