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数学 高校生

画像のマーカー部分の式がどこから出てくるのかがわかりません。教えていただきたいです

4 基本 例 22 数列の極限 (5) ・・・ はさみうちの原理 2 nはn≧3の整数とする。 (1) 不等式2">1が成り立つことを,二項定理を用いて示せ。 il n 2 6 (2) lim- この値を求めよ。 n-∞ 2" dat 指針 (1) 2(1+1)” とみて, 二項定理を用いる。 00000 mil (a+b)"=a"+C₁a"-1b+nC₂a" b²++nCn-1ab1+br 基本21 (2)直接は求めにくいから、前ページの基本例題21同様, はさみうちの原理を用 いる。 (1) で示した不等式も利用。なお、はさみうちの原理を利用する解答の書き方 について,次ページの注意 も参照。 CHART 求めにくい極限 不等式利用ではさみうち 解答 検討 (1) n≧3のとき 2"=(1+1)"=1+Ci+nC2++nCn-1+1 21+n+1/2n (n-1)+/n(n-1)(n-2) 1 5 -n³+ 6 n+1>. n=1,2の場合も不等式 は成り立つ。 <2"≧1+nCi+nCz+nCs (等号成立はn=3のと き。) 1 よって 6 (2) (1)の結果から 0< 2n n' よって 6 2n n 6 lim 12700 n -= 0 であるから 2 lim- n (S) 各辺の逆数をとる。 <各辺に n² (0) を掛け る。 n2n =0 B はさみうちの原理。 はさみうちの原理と二項定理 はさみうちの原理を適用するための不等式を作る手段として, 上の例題のように、 二 理が用いられることも多い。 なお、二項定理から次の不等式が導かれることを覚えておく とよい。 x≧0のとき (1+x)"≥1+nx, (1+x)">111

未解決 回答数: 1
英語 高校生

21番です。 なぜ、対比の訳になるのか教えていただきたいです🙏

IV 次の英文を読み, 空所 19~ VR肢①~④から1つずつ選びなさい。 問題 23を埋めるのに文脈上最も適切なものを、それぞれ下の選 Sixty-five million years later, the extinction of the dinosaurs remains a great mystery. Scientists think that dinosaurs existed on Earth for almost 200 million years. 19 could these great beasts, some of which weighed thousands of pounds and stood 100 feet tall, suddenly disappear? 11 The most popular theory is that the dinosaurs were killed off when an asteroid into southern Mexico. The asteroid's collision caused earthquakes, fires, and tidal waves. Volcanoes erupted, spewing poisonous gases into the sky and lowering the oxygen level in the oceans. Plants died, removing the food source for plant-eating dinosaurs. As these dinosaurs died, there was no food for meat-eating dinosaurs. In a short period of time, the dinosaurs were gone, and the first mammals began to appear. Many scientists note that, 21 the asteroid had a major impact, the Earth's climate had already scientists claim that mammals already on Earth before the asteroid might have 22 the extinction begun to change. The planet was cooling, and the colder temperatures were likely killing plants. Some by eating dinosaur eggs. We may never know for certain what caused the extinction of the dinosaurs. But it was most likely the result of a combination of the asteroid, colder climates, and egg-stealing mammals 23 the single event of the asteroid hitting the Earth. 2024年度 全学 Casey Malarcher et al., Reading for the Real World 1, Second edition When ② 19 What 3 Who 4 How came ② carried 20 3 crashed 4 burst 21 while once 3 unless 4 yet 22 ① governed obstructed 3 facilitated 4 united 23 1 other than rather than ③ except for 4 owing to

未解決 回答数: 1
英語 高校生

答え合わせと正しい解答をお願いします! Dの問題、全く分かりませんでした、、

Part1まとめの問題 (7) 私が空港に着いた時にはアンジェリカはすでにベルリンへ発っていた。 Angelica (has) airport. has already) ( Leff) for Berlin before I arrived at the (8) 出勤する時にこの手紙を出してくれませんか。 Would you ( (:be "senf) this letter when you go to work? 次の英文を[]内の指示に従って書き換えましょう。 (1) Kaori went to Paris and she isn't here now. [完了形を用いてほぼ同じ内容を表す文に] (2) The scientists carried out the experiment in 2022. 〔下線部を主語にした受動態に] The experiment was carried out by scientists in 2022 (3) You are tired after all that walking. [助動詞を使って話し手の確信のある推量に] (4) This is the book. I told you about it yesterday. [関係詞を用いて文に] This is the book which I told you about it yesterday. (5) The man made his daughter a wooden toy. [「誰に」 と相手を強調する文に] 次の各文の )に入る最も適切な語句を選択肢から1つ選びましょう。 (1) After the musical ( ), the audience began to leave the theater. have ended 2 end (2) Several guests at the restaurant complained about ( yesterday. 3 had ended 4 has been ended ) cold food having served ) can be the evidence of his crime. 3 who 4 where ①to be served 2 being served served (3) I cannot think of anything ( ①when 2 that (4) This ancient pine tree ( ) because of climate change. has death (5) The girl ( ①dance (6) Most of the items in this room are items ( how has dying 2 is dying 3 is died ) with John is Keily's sister. 2 dances ③3 dancing 4 danced ) I cannot do without. 4 those 2 what (7) This is the community center ( 2 when ①where ③ that ) I learned classical Japanese dance. 3 which 4 whom

未解決 回答数: 1