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Mathematics Senior High

ここで正の無限大にって書くのはダメですか?

64 第1章 数列の極限 [n+] 例題23 無限級数の収束・発散 (1) 次の無限級数の収束・発散を調べ, 収束する場合はその和を求めよ. **** 1 1 (2) an (1) 1-3 2-4 3-5 n(n+2) I 2 3 (2) √2+13+14+1 yn+1 +1 2 無限級数 65 n vn+1 +1 ⑥東C始の不定形 n(vn+1-1) n+3 (3) n n+2人 より (vn+1+1)(vn+1-1) =√n+1-1 したがって lima= lim(vn+1-1 *-* 00 lim S玉の無限大に + 分母を有理化する. 第1章 +1 (1) 数列{a} が 0 に収 束しない Naは発散 考え方 無限級数の収束・発散を調べるには、 まず。 一般項 α の収束・発散を調べ 次に、部分和 S, を求める。 D S=atat…tat 無限級数 よって、この無限級数は発散する. となり 部分和 Sm ・{S.}が収束Σa. が収束 0350 = (3)S=(2-1)+(2)+(4-0)+ nn+ lim4.=0 ......+ limS=S 2,=S \n-1 n+1) 1+ n+Xn+3\ n+2 部分和 S を求める. SALHA 解答 =2+ したがって 1 (1) {Sが発散が発散 切除するか (1) 部分分数に分解して考える. (2)無理式である。 分母の有理化をする. 一般項を a.. 初項から第n項までの部分和をS" とする. _1/1 1 <部分分数に分解する) 3 n+2n+3\ lim S, 2 n+1 n+2) 3n+2n+3 42n+1 n+2 WANG DER {S.} の収束 発散を 調べる. n(n+2)=( 2 3 nt! 1+ 1+- 3 n n = lim 2+2 1 2 1+- 1+ n n a,= n(n+2) 2nn+2, lima.=0 3 =2 1-1 1 S 11 1.3 2.4 +3.5+...... 部分分数に分解する 3 部分和 S を求める。 よってこの無限級数は収束し、その和は 2 11 (n-1) (n+1) n(n+2) Focus 無限級数の収束 発散 23 bla ...... 1/1 1 2\m n+2) 数列 {a} が 0 に収束しない lima=0 無限級数Σamは発散する n=1 部分和 S を調べる n+1+2 より, limS,=lim 1/ {S} の収束・発散を lim SS (収束)のときan=S =1 1 1 調べる 2 133 n+1 n+2 1 lim- =0. 224 +1 よって、この無限級数は収束し、その和は 1 練習 lim- =0 n+2 23 (1) ** 4 limS=S ⇔ →Σa-S (2) 次の無限級数の収束・発散を調べ, 収束する場合はその和を求めよ。 itysty3+√5+15+√7 1 v2n-1+v2n+1 [n+1 n+4 n n+3 + 1 (3) 32-647-85-10 n²-2n →p.8112~15

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English Senior High

下線部(4)に関して、この質問に込められているDaveの気持ちを基本後で説明しなさい に対して 申し訳なさだと思ったんですけどこれってどんな意味があるんですか

4 20 Chapter 1 英文を読んで、 設問に答えなさい。 物語 271 words Time: 35 minutes Ted had a son, but his son had no mother. Ted and his seven-year-old A-1 son, Dave, lived alone. Ted was not very rich, so he had to work hard every day. One evening, Ted was driving home after his hard work. He was very 5 tired, but he loved his son. "(A) Dave must be feeling lonely now. I have to go home as soon as possible." He hurried home, but he came back home at nine o'clock. Dave was still awake when he saw his father, and said, "Dad, how much do you make an 時きゅうないとどうなの? 10 hour?" 息子 15 Ted got angry at his son. He was not making enough money for their living. And he was too tired to stay calm "Why do you ask (1)such a silly question when I come home from hard work? I make twenty dollars an hour. Is that good enough for you?" "I'm sorry, Dad. But... (B) will you give me ten dollars?" "Another silly question! Just go to bed and sleep! Right now!" A-2 After Dave went to his room, Ted sat down on his sofa and had a drink. (2)He came to himself again, and thought he was wrong to his son. He went 自分自身のうに into Dave's room. fr 理性をとりどす. "I'm sorry, my son. I didn't want to get angry with you. Here's your ten dollars." A-3 "Thank you, Dad!" 25 Dave got up and opened his treasure box. He had another ten dollars in it. When Ted saw this, (3)he got angry again. "Why do you want another ten dollars? You already have ten dollars!" But Dave asked, watching his Dad's eyes, "(4)Dad, can I buy your one hour with these twenty dollars?" come to oneself. begin acting and thinking like one's normal self A-4 「速読」 1. x >

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