この数列の問題、教えてください！

数列{an}において初項から第n項までの和を Sn とするとき, n(n+2)an+1=Sn (n=1, 2,3,...), limSn=2 1248 が成り立つものとする。 一般項an を求めよ.

(2)が解説読んでも分かりません💦誰かわかりやすく教えてください🙏

(1) x>0のとき, es/1/2+x+1 が成りたつことを示せ。 ety (2) limax=0を示せ. ex (3) limxlogx=0を示せ. c → +0

この極限はなぜ無限に発散するのですか？ゼロだと思いました。

7³ → 1 ±02-1 =lim +46 ±∞ (複号同順) H

文章に対してsvocmをつけて頂けるとありがたいです。

Do you know the Japanese anime movie Kimi no Na wa, or Your Name? The hero and the heroine each wear kumihimo. This key item shows us the basic theme of the story: musubi. This Japanese word means the ties between people over time and space. Thanks to the movie, young people around the world as well as in Japan became interested in the art of kumihimo. Now some of them even make kumihimo by themselves. The handicraft of kumihimo has a long history. How did the tradition of tying develop? How did musubi begin to express the connections between people?

式を書き起こすのが難しかったため、画像に質問が書いてあります。 よろしくお願いします🙇

1. 導関数の定義から cos 5æ の導関数の式を導け。 1 answer: 三角関数の差を積に変える公式 より、 ここで、 (cos 5x)' = lim h→0 したがって、 cos a-cos β= -2sin を使うと、ん→0のとき→0より、 (22) また、 sin 5x の連続性より、 ↑ 分かりません。 cos(5(x + h)) - cos 5x h lim x-0 sin x IC sin h lim h→0 h (cos 5x)' a- = 2 = 1 sin =1 a + B 2 これがどうやって~ L 5 lim sin 5x + h = sin 5x h→0 2 -5 sin lim -5 h→0 2 5k 10x + 5h 2 2 10x + 5h 2 lim sin sin h→0 形されたのか? sinh h 5x sin [この波線を] [sin これは と変形させたものですか? lim-5 ho 10 11/2/2 x + =/=/h = sin 5 x + ² /h sin Ih l=1 3 この5はどこに行ったんですか? 書きながら思ったんですが先に計算して 最後にここにつけたということですか?

これの答え教えてください🙇‍♀️

eve latin ethi 定する =ろう -ld Ce た al homsmo n ) elevator is becoming a reality. Carbon nanotubes discovered scientist made it possible in ( ). Though there ) to solve, the elevator will have many good points. ) than a rocket because it will use ) than a rocket, which might crash ) panels in space. In ). In the ) to space by the elevator. ) of outer ( ►Fill in the blanks. A ( by a ( are still a lot of ( The elevator will be ( ) power. It will be ( or ( ). Also, it will let us addition, it will be our gateway for ( future, everyone might be able to take a ( Active Study 日本の宇宙開発について調べ, 簡単な英語で発表してみよう。 Drills A Change the verbs into the correct form. 1. If it (be) not raining, we could see the full moon. 2. If our school had a science club, I will join ) it. 3. If he were an astronaut, he (can travel) to space. place ( * astronaut [æstronò:t] FI 4. If I (see) a shooting star, I would make a wish. 5. What would you take with you if you (go) to the moon? LESSON B Make the two sentences into one using "..., where ~.” 1. The boy went to the Tanegashima Space Center. He saw a real rocket there. 2. I climbed Mt. Fuji. Many tourists were taking pictures there. 3. Akira entered a university in America. He studied science there. C Change the verbs into the correct form. 1. I (study) hard for the science exam about this time tomorrow. 2. I (travel) in New Zealand to see the stars about this time next week. 3. Don't call Misaki between 8 and 9 o'clock tonight. She practice ) the piano. 4. A: Can we meet tomorrow? B: Sure, but not in the morning. I play ) tennis with my club members then. 51 (-2-¹)- 乗根で

解き方が分かりません、。。 回答で何をしてるかわかるような解き方でお願いしたいです🥺 よろしくお願いします🙇🏻‍♀️

問題 4. 次の極限を求めよ. (1) lim (n+1- Vn² - 2n + 3) n→∞ 1 (3) lim (1-2) ³ x →0 (5) lim x →0 log(1 + 2x) - 2x + 2x² x3 (2) lim x 2 2x²-3x - 2 x² + 3x - 10 x sin x x-0 1- cos x (4) lim

分かる方教えてください🙇‍♂️

26 1 Choose the best answer to fill in the blanks. (15) (1) Peter ( ) for ten years next month. 1 teaches 3 will teach (3) Our teacher is ( likely (2) In my class, there are three students from abroad. One is from England and ( are from Australia. 1 another (4) My father is ( 1 more tall 2 others (5) My parents objected ( 1 to my climbing 3 me to climbing (8) ( (6) She had to shout to make herself ( 2 hear 1 have heard 1 Judging from 3 Though 2 will be teaching 4 will have taught ) to come by the time we promised to get together. 2 possible 3 probable 4 definite ) of the two men standing at the gate. 2 taller 3 the tall 3 the other (7) The project could be called a success, all things ( 11 consider 2 considered 3 considering ) the mountain alone in winter. 2 me of climbing 4 on me to climb TOT ) the sky, it will rain this afternoon. (10) We are now in the ( 1 late ). 3 heard (11) All teachers and students are not ( 1 necessarily 2 necessary 4 the others ) half of our training camp. 3 later 2 latter 4 the taller (9) You must leave now; ( ), you will be late for your social studies class. 1 instead 2 therefore 3 otherwise 4 accordingly 4 hearing 2 Generally speaking 4 It being 4 to consider (13) Next week's seminar ought to provide ( 1 ours (2) our 4 last ) wise and hardworking. 3 need 4 needed (12) ( ) had the war begun when terrorists hijacked a plane. 1 The moment 2 No wonder 3 Hardly 4 As soon as /13 ) with a lot of new information. 3 ourselves 4 us made er discr deceived ( 東京電機大 ) Intentio e you go prepare e two g notice (京都産業大) (関西学院大 ) THIOS (千葉工業大) Gs not lil aimless NT 13 (実践女子大) (摂南大) (大阪学院大 ) chance (國學院大) (二松学舎大 SE 否定 not alwa not quit けではな • I not at (センター試験) lot ~ ei •I (城西大 N 全体否定 I する ardly N SOO A

教えてください🙏 数三です

k, a b は正の数, e は自然対数の底とする。 ry平面上の曲線 y=ae + b と直線y=x+1 が不等式 x≦k の表す領域において共有点をもつような点 (a, b) の集合をDとする。このと き,次の各問いに答えよ。 (25点) (1) ab平面上に集合D を図示せよ。 ( 16点) (2) (1) の領域の面積をSkとおくとき, lim Skを求めよ。 (9点) k→ +∞

微分法の問題で、定数分離によりaの範囲を求めようと考えたのですが、今回はこの方針では解けないのでしょうか？f（x）を微分して増減表を書いて解いていくのか、定数分離をするのかの判断基準がわかりません。よろしくお願いします。

f(x)=x2+ax-ax log x (aは正の定数) logx とする. 以下において, lim- x →8 = =0であることは用いてよい. (1) f(x) が極値をとるxの個数が2であるようなαの値の範囲を求めよ. (2) α=eのとき, f(x) の極小値を求めよ.