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Mathematics Senior High

(3)は、∑の上がn+1ですが、公式が使えるのですか??よく分かりません🥲

450 PLUS 211 PALL 例題247 区分求積法 [1] 次の極限値を求めよ。 n (n+1)² (2) lim (3) lim (4) lim COS 1 no k=l2n+k 1 月0k+1 k (3) は limak = lim- 18k=1 ) 12 Σ, (4) 12 =lim 11→ 部分和が求められない。 Action≫ 無限級数 lim 段階的に考える 区分求積法によって, lim a の値を求める手順 110k-1 (1) (与式) lim + =lim π + 2 cos +...+ncos 2n n (n+2) 2 =f'(x)dx = 11 >bk = π ( [x₁ x. 1台 n = n k=1 2π 2n 右の図の長方形の面積の和 1② (1)は、定積分∫f(x)dxとせよ n→∞ nk= n (n+k) ² +・・・ + (2) (5) = limkcos Je=1 2|π =[- -+=1/ であり, ②ではない。 +1 図で考える 右上の図と同様に考えると,積分区間はどうなるか? = lim 2 kπ 2n ←ーをくくり出す。 1を n n (n+n)² k by の式で表す。 n k = xlim = cos(4) n k=1 n 2 n nπ 2n 1 no kn 1 1 dx (+45 +4 k 1+ をxと考える。 π =T -=[ xos xdx = xx (² sin x) dx XCOS 7 n² (n+k) ² sin x-sinxdx) 2 2 - * ( ²² - ²/ [-² cos x]) = 2-4 IT T COS π πC π 0 123 nnn A 出す。 k n 1 189039 (日本大) で表し、12をくくり y=f(x) の形をつくる。 + 以外をΣ の中へ入れ n る。 部分積分法を用いる。 sinx=(-cos) (3) (与式) lim (4) (与式) 〔別解) lim = log3-log2 = = lim 2" 1 k=n+1 k k=1 n = √₁₁ 2 + x dx = [108/2 + x1 ] 3 8/2/20 1 n 2+ 1 k=n+1n 1 1 n+1 n = S₁² = - dx = [10g|x 1] =log2-log1=log2 k=n+k + k n log (2) limlog 1 k よって 1 (4x) = limn+k = lim- 11-0³ 1 n+2 1100Nk1 =lim 1-100 nk=n+1 k m² 2 n + 映画 247 次の極限値を求めよ。 2 (1) + 4+n² 1 n+3 (3) (4¹sin x) n+1 27 n b Point 区分求積法 区分求積法について、 基本的な関係式は lim()-(x)dx Im()-(F(x)dx のようにぃの項の和の形であるが, (3) のような Σゃ k 1+ - 1dx = [log|1 + x1] - log2 -dx= = = n + ・・・ + n+100 さらに 2 となっても積分区間は0から1となる。 k n 3 + 9+n² +・・・+ 21-1001+n² Lim log(n+1) * (+2)* ... (2) * 21-00 1" n+n y4 (4) lim (+) 1 1 12-00 √n+2 n 2²) √2n 012 Inn y=2+x 0 0 123 nn n n+1 n 右端はx=1+- 1 n るが, n→∞ のとき 1であるから, n 積分区間は0から1とな る。 11 =1n+1 n k=n+1 1から2となる。 =1+1 のとき分区間は y=f(x) であ 11 n+100 x n 1+ 100 1 n (n→∞0) 6章 1 区分求積法,面積 (東海大) p.490 問題247 451

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English Senior High

(18)のthat's sorryとthat's too badの違いはなんですか

ess 駒澤大-一般選抜T方式 S方式 2022年度 英語 13 問題N 次の二人の会話を読み, 設問 (16-20) に答えなさい。 on eda od gaibrans A JaDry stool f'nesób yanət tadikasoiton bived A David: Hi Jenny! Are you okay? You don't look so well. yamebainid) hiva 8 Jenny: Hi David. I'm a little tired today. I haven't been sleeping very well lately. David: That's no good. Are you getting enough (le16do)? gnivad ei yrasta Jenny: I think so! I've been jogging for an hour a day six days a week. I'm training to complete a full marathon.sta tón tol aevig kvm 21 de A David: You're really jogging six days a week? Jenny: Yeah, why? mul olil abnuos Ji aus esizom sxil d'usob oda sauss 8 David: I think I know what the problem is. You need to get some more rest. aren't a professional athlete! nions-fast of abson are sauso98.0 (17) Jenny: You might be right. I'll try to relax a bit more. David: Hey, I have a good idea! Why don't we go to the movies tonight? That will be a good opportunity for you to relax and have some fun. (as-IS) VON Jenny: That sounds like a lot of fun, but I already have plans tonight. David: What a shame! What are your plans? C. study You RISU (18) Jenny: I'm going for a run. mis ned their fingers 16-20 Read the conversation above and select the best option for each question. their basiersbruction A BEATS A 16. Select the best option to fill in (16). D. work 28A.) exercise bak B. help otre Ineve tonosnog mahatoslqosq baimer of blind gaibling an outstrida is 17. What does David mean when he says, "You aren't a professional athlete!"? (17) A. She has the potential to earn money through sports. B. She is training too much for an amateur runner.lnu bas gnijaugaib ES C. She needs to find a sponsor. elda molto mal time in gnistme.A D. She needs to train harder. Det their wits' end pangan telitiaq a rol babaon at an doum as AS 18. Which of the following is closest in meaning to "What a shame!"? Job A (18) B. That's fantastic! Hool1970 A. That's a great idea! C. That's sorry! pode noiolai to D. That's too bad! wombbal 25 ●幼児の手の届か HIGHLIGHTER Keep out of reach of children. イン

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English Junior High

問2と問3と問4を教えてください!

14) 次の英文を読んで、あとの各問いに答えなさい。 Jack is writing an e-mail to Mike now. Hi, Mike. I arrived in Hokkaido two weeks ago. My school here is wonderful! I can't speak Japanese well yet, but I've made friends with many students at school. I read some books about Japan before I came here, but 5 school life are new to me. many things about Japanese "C For example, an interesting thing happened at lunch time on my first day at this school. After the fourth class finished, suddenly my classmates began to eat lunch in our classroom! And they put their lunch boxes on their own desks! I couldn't believe it. So I asked my friend, Takeshi, "Aren't your desks for studying?" He 10 looked a little surprised and answered, Of course they are, but we use them when we eat lunch, too. Why do you ask?" Another interesting thing happened after school that day. After we finished our class, some students started to clean the classroom. That also surprised me. Because our school in America has a "cleaning staff, students and teachers don't have 15 to clean. The next day, I cleaned my classroom with my classmates for the first time. After cleaning with them, I felt good. I think that it's good for students to clean the places that they use. 100点 *Lastly, we have our school trip for five days next month. You may also be interested in this because our school in America doesn't have such a long trip. I'm 20 very happy because I will go to Kyoto, Tokyo, and other places in Japan. Now my classmates and I often talk about our school trip. It is interesting to plan what places we will visit in Japan. I want to see some famous places and old Japanese buildings with my own eyes. I sometimes feel there are many differences between Japan and America. This 25 makes my life in Japan very exciting every day. I'll tell you about my school trip next time. () surprise cleaning staff ‡‚ (= janitor) [問1] 下線部 ① を, ほぼ意味が同じで次のように書きかえるとき, 1語が入るか答えなさい。 There are many things that I didn't lastly 最後に, 終わりに にはそれぞれどのような (15点) know about Japanese

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