ガウスを不等式の中に入れてるのってどういう意味ですか？

基本 例題 23 数列の極限 (6) ・・・ はさみうちの原理 3 △ 45 ①①① (1) 実数x に対して[x]をm≦x< m+1 を満たす整数とする。 このとき, [102] lim 102m を求めよ。 (2) 数列{an) の第n項 α7 はn桁の正の整数とする。 このとき, 極限 [山梨大) logio an lim を求めよ。 72 [広島市大〕 基本21 指針 この問題も、極限が直接求めにくいので、はさみうちの原理を利用する。 (1) [x] をはさむ形を作る。 x]はガウス記号であり (「チャート式基礎からの数学 I+A」 p.121 参照) [x]≦x< [x]+1 が成り立つ。 これから (2) α は n桁の正の整数 10" 'Man<10" (数学ⅡI) (1)任意自然数nに対して, [102] 10°"z<[10%"z]+1 102-1< [102]≦102 1 [102] < 10²n 102n x-1<[x]≦x <[x]≦x<[x]+1 2章 ③数列の極限 2限 [102] をはさむ形。 から 解答 よって 1 limπ 201 102πであるから [102] lim π はさみうちの原理。 102n 12-00 (2) α は n桁の正の整数であるから 各辺の常用対数をとると 10"-1≦an<10" n-1≦10g10an<n 10g1010=n よって 1 log10 an <1 n n lim (1-1) =1であるから lim log10 an 1 はさみうちの原理。 12-00 n 7→80 注注意 はさみうちの原理を誤って使用した記述例 例えば、前ページの例題22の解答で, A 以降を次のように書くと正しくない答案となる。 0<<6 Aから n² 0<lim- <lim → 2 6 n =0 よって lim n2 =0 2 [説明] はさみうちの原理は 818 an≦cn≦bn のとき lima= limb = αならば limc=α →80 n00 これは, 「acn≦bn が成り立つとき, 極限lima, limb が存在し, それらがαで一致する ならば,{c}についても極限limc が存在し, それはαに一致する」という意味である。 72700 72100 において, 存在がまだ確認できていない極限lim を有限な値として存 上の答案では, 在するように書いてしまっているところが正しくない。 正しくは、 前ページの解答のA, B のような流れで書く必要がある。 n² 11-00271 練習 実数 α に対してαを超えない最大の整数を [α] と書く。 [ ]をガウス記号という。 23 (1) 自然数の桁数kをガウス記号を用いて表すと, k =[[ ] である。 (2)自然数nに対して3”の桁数を km で表すと, lim- kn 12-00 n "である。 [慶応大]

英語の分詞の単元についての質問があります。 「手を振る」というものは脳によって手が振られているのになぜingになるのでしょうか

1単語1単語品詞分解＋動名詞あるいは不定詞が出てきた時にそれは名詞・形容詞・副詞的用法のどれなのかも教えてくださいください！

135 In many ways, riding a motorcycle is quite different from ( to drive a car 3 driving a car JETLY 2 you drive a car when driving a car 136 My mother complains of ( ) too lazy. 2 I being 3 me to be my being live and wo 9014 ). <東海大 > いつつもり 137 I (am / been / part / this / of / having / proud of) team. are proud of having been part of this 138 I am ashamed ( ①not of having been 3 of having not been Point 046 北海学園大 ) kind to the old woman on the train. skeco 2 of having been not ④of not having been 139 (a) It is useless to try to overtake them. <日本大〉 〈日本女子大 〉 to overtake them. 〈神戸松蔭女子学院大〉 (b) It is (no) use (frying) to overtake them. 654 140 (a) It is no use discussing this matter with them. of jon ) in discussing this matter with them. stiloqmimDIOT (b) There is ( ①no point 2 no problem 3 no difference no more <> 41 彼を待ってもむだなようだ。 tu 10) se of EET There (in/be/ appears / sense/to/no) waiting for him. appears to be no sense in ASE 027円 〈近畿大>

(3)と(6)について こういう解釈で合ってますか？ ★のところが特に曖昧です 教えてください🙇🏻‍♀️🙏🏻 (3)he went to the libraryの前に ボブは彼の友達の家にいた wentより前→大過去 had+過去分詞 ★今回だったら 存在〜にいただからh... 続きを読む

(3) Before he went to the library, Bob 11 at his friend's house. 1 will be 2 might be has been had been (4) Today, it isn't as hot as it was last week, 12 ? 1 isn't it 2 is it 3 wasn't it 4 was it (5) I saw Linda 13 the library the day before yesterday. ① enter 2 be entering has entered (4) was entered (6) My brother is looking for a house to 14 near Tokyo Station. ① be living 2 have lived 3 living in live in T 7) What do you say 15 shopping today?

英作文の(2)についてです。 間違っている箇所はないか添削して頂きたいです😭

第3章 準動詞 T §48 分詞構文 課題文 (1) テレビを見ながら朝食をとる日本人が多い。 (2) 五十年の半生を振り返って、 何が私にとって人生を変えた決定的な 出来事だったか、たった一つ選ぶのは大変難しい。

答え書いてあるところ合っていますか？ また、空欄の所も教えてください！🙇🏻‍♀️՞

...すべきだ」という す助動詞は? 弱い義務 助言)を 162 My brother and I ( when we were children. ① may 3 )often go fishing in the nearby river 2 shall 3 should ④ would keep is a secret!" ① will Try! When I was a child, my mother ( 3 )say, “The only thing you can't ② will often ③ would often ④ always (西南学院大) すべきだ」という 義務 助言を は? そのあとのto に注 不定詞が続く助 はどれか? Section 16 推量・確信を表す <助動詞+ have+過去分詞) <助動詞 + have + 過去分詞〉 の問題のポイント 過去の事柄への推量や確信などを述べる表現。 <助動詞+ have + 過去分詞〉 の助動詞ごとの意味を覚えておく。 to の否定形 位置に注意しょ 03 助動詞 「(以前は)よく・・・した ものだ」 という (過去 の習慣を表す助動 は? often に注目 Ta 163 Henry went to bed as soon as he came back home last night. He must(have)( been) very tired. |適語補充 Try! 1.携帯電話がカバンのどこにもない。 電車の中に置いてきたに違いない。 ① I can't find my cell phone anywhere in my bag. I had to leave it behind on the train. ③ 2.I (3 ( ) have bought the book, but I don't remember where I have T100 「•••したに違い 「ない」という確信> を表すには? last night に注目。 「と ても疲れていたに違い ない」 を表すには? 64 put it. ① cannot ② should not ③ may not ④ must ( 九州産業大 ) His grandfather is very old and can't hear well. He (3) our talk. ① can have heard 「･･･したはずがない」 という 〈確信〉を表す ものは? 「聞こえたはずがない」 を表すには? 以前は)... ② must have heard いう〈過去 表すには? ③ cannot have heard 4 should qu snied ではないこと D Try! I don't believe it; he ( 3) have said so. ① may ② will (3 cannot ④ never (四天王寺大) □は) よく う 〈過去 > を表 意味を考 bluode &WEJ BI in? He (4) me last night, but I'm not sure. I was deep asleep. 165 ① might visit ③ had to visit ② would visit ④ might have visited Try! I don't feel well. I might (4) acold. 166 ① be caught ③ have been caught ② been caught ④ have caught Mr. Norton gave us the homework ten days ago. You should ( 2 ) it by now. 「･･･したかもしれない」 という 〈推量〉を表す には? 「訪ねたかもしれない」 を表すには? (近畿大) 「･･･したはずだ」 という <推量〉を表すには? 「終わっているはずだ」 を表すには? ① finish ② have finished ③ finishing ④ can finish 15

わかりません！！ 答え教えてください！🥺

Section 14 should/ought to Once you make a promise, you ( 157 1 can ) keep it. 2 may 3 should 4 will 「…すべきだ」と 弱い 務・助 表す動詞は 162 2 can apologize 3 can Try! If you are worried about your health, you ( walk more. had 2 would 3 should 4 ought Try! If you did something wrong, you ( Dapologize 3 should apologize 4might have apologized ) to be more parking lots in the center of the city. 58 There ( ①should 2 ought 弱い義務 表すには? 4 must ) to eat less salt and 空所のあとの 目。to不定詞が 動詞はどれか? ) for that. 「約束を守るべきだ いう意味にするには My brother and I ( when we were children. 1 may 2 shall ) often go fishing in the nearby river 03 ME 「(以前は) よく・・・ 「ものだ」という の習慣〉 を表す は? 3 should 2 will often 3 would often ④always Try! When I was a child, my mother ( keep is a secret!" I will ) say, "The only thing you can't Section 16 推量確信を表す〈助動詞+ have+過去分詞》 <助動詞 + have + 過去分詞〉 の問題のポイント 過去の事柄への推量や確信などを述べる表現。 <助動詞+ have + 過去分詞> の助動詞ごとの意味を覚えておく。 often に注目 4 would (西南学院大) dard not の位置に注意しょ は? ought to 否定 163 Henry went to bed as soon as he came back home last night. He must (ith) ( ) very tired. 補充 T100 - 「ない」と を表すに last nigh ても疲れ う ない」を 159 You ( ) noisy in the library. Dnot should be 2 should be not 3 ought to not be 4 ought not to be bl Try! 小さい子どもは夜遅くまで起きているべきではない。 並べかえ Small children (not/ought/stay/to/ until/up) late at night. Try! 1.携帯電話がカバンのどこにもない。 電車の中に置いてきたに違いない。 I can't find my cell phone anywhere in my bag. I had to leave it behind on the train. ( ) ) have bought the book, but I don't remember where I have 2.1 ( put it. 1 cannot 2 should not 3 may not 4 must ( 九州産業大) less hot in my childhood. 2. There ( 1 got 2 used Section 15% 過去の習慣状態 160 My son ( I had to Try! 1. It's really hot today! The summer in Japan ( ) ( ) to be a restaurant around here some years ago. 3 comes 4 went 64 His grandfather is very old and can't hear well. He ( ) our ... とい talk. もの NJ ) like playing baseball, but now he only plays soccer. 3 used to 4 has used to 2 is used to T100 (以前は)- 「だった」という過去 1 can have heard 2 must have heard を の状態を表すには? 3 cannot have heard 4 should no ) be 現在はそうではないこと を表すには? |適語補充 Try! I don't believe it; he ( 1 may 2 will 3 cannot ) have said so. ④never (四天王寺大 ) 165 He ( bluorta &/JR Jeri-C ) me last night, but I'm not sure. I was deep asleep. (駒澤大) I might visit 2 would visit 161 My uncle ( doesn't. ) drink sake a lot when he was young, but now he T100 「(以前はよく 3 had to visit 4 might have visited ･･･した」 という 過去 習慣的動作)を表 すには? Try! I don't feel well. I might ( ) a cold. I used to ought to 3 is going to 4 has to I be caught 2 been caught 選択肢が表す意味を考 えよう Ken ( Try! 1. 以前, ケンはよく道に迷ったが, 今はスマートフォンで行き方を見つけられる。 smartphone. ) to get lost a lot, but now he can find his way with his 2. When I was a child, my father ( I was used to tell 3 used to be telling ) me fairy tales. 2 used to be told 4 used to tell (東洋大) 3 have been caught 4 have caught (近畿大) |66 Mr. Norton gave us the homework ten days ago. You should ( 1 finish ) it by now. 2 have finished 3 finishing 4 can finish

これの答えが知りたいです。 できれば訳もお願いします！！🙇🏻‍♀️՞

when B を表すと 市内の when とも 第 02 章 Field 1 文法 受動態 Section 受動態の基本 主語と動詞が 「(主語) が･･･される」 という <受動〉 の関係なら、受動態 <be動詞+過 去分詞> を使う。 受動態の問題のポイント be 動詞は主語・ 時制に応じた形を使う。 when 容を表 節内の 134 This church ( en Biz ① built ② was built ) in the 12th century. ③ has built も Try! 1. This chair (break) by Mike yesterday. ④ was building [語形変化] 100 受動態の形は? 主語が This church で あることに注目 2. He ( ) while he was playing rugby. ① injured ② has injured (関西学院大) ③ may be injured ④ was injured 135 ① invented of The radio was ( ) Marconi and others. ② invented at T100 動作主を表すと きは? 動作主を表すときに用 いる前置詞は? ① with [100] Try! Who was this picture drawn ( ③ invented with ④ invented by )? 2 to ③ by ④ of ce 5 136 He ( ) Kei by everyone. 00 ① calls ② is called ③ is calling called SVOCの受動態はど ういう形になる? He と Kei の関係を考 よう Try! The outside of the castle ( I was painted black ② painted black ). ③ was black painted ④ is black painting 8 37 ① of ② by The child was taken care ( ③ by of ) him. ④ of by Try! He will ( ) by the whole class. ① be laughed at ② laugh ③ be laughing at ④ be laughed Section 10 いろいろな形の受動態 (札幌大) 138 Tokyo Skytree ( ) from here. ① can see ② can be seen ③ can have seen is can seen 動詞の受動態はど ういう形になる? take care of ... は群動 詞 動詞は1つの動 詞としてとらえよう T100 助動詞を含む受 動態の形は? Can は助動詞 助動詞 を含む受動態の形は? 9

ほかの選択肢はなぜダメなのですか？

"What do you want to do after you graduate?" "( I haven't decided yet)" [選択肢] I haven't decided yet/I'm still not deciding / I still don't decide / I wasn't decided yet [正解] I haven't decided yet have not + 過去分詞 + yet 「まだ〜していない」 (完了・結果) [訳] 「卒業後に何をしたいですか?」 「まだ決めていません」

544の質問です。 答えは②なんですけど、なぜ過去分詞がくるのですか？

198 Part 2 2 ☑ 543 (a) The typhoon blew the roof off our house. (b) We had the roof of our house ( ) off by the typhoon. 〈法政大〉 544 "These documents have to be ready first thing (tomorro morning?" S "That's right. Somehow we've got ( to get done them 3 to do away with them Point 136 545 SO, C I want/you S (today.") to get them done 4 to do them being got what time will be convenient fo 〈上智大〉