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数学 高校生

(2)の解答の丸をしているところの変形はどのようにしているのでしょうか。

次の極限値を求めよ。 n+k 4 (1) lim n- 指針> n n+k 1 2 ƒ ( 1²2 ) = S( f(x) dx lim n→∞ n k=1 m 1 2 ƒ( k ) = S'ƒ(x) dx ‡ † lim n k=0 n のように, 和の極限を定積分で表す。 その手順は次の通り。 ① 与えられた和Sにおいて,をくくり出し, Sn=Tn n の形に変形する。 2 T”の第k項が f (n) の形になるような関数 f(x) を見 つける。 ③3 定積分の形で表す。それには(または ƒ(k) → ƒ(x), dx と対応させる。 n !!! (2) S=lim-2 n→∞nk=1 ここで, 解答 求める極限値をSとする。 (1) (+)¹-(+)²-¹(^+^) ³ - -/- (₁ + ^ ) * n+k\3 = n n = 1/n+k n nn n+k\ n *ot S-lim2 (+)¹-lim-¹(1+4)* よって n→∞k=1 n→∞nk=1 =f'(1+x)dx=[1/(1+x)-3/2 (R ² + 1)² ( 12+ + 2)) n n n よってS=Sof-x+1 (2) lim E- a + n→∞0 k=1 (k+n)² (k+2n) p.406 基本事項 ① = a=-1,b=1,c=1 k n b (x+1)(x+2)x+1 (x+1)^2+x+2 とすると nº (x+1)x+2 (x+1)(x+2)dx + x + 2 }dx 3 4 -[-log(x+1)=x+₁ +log(x+2)] =1/12/2+10g 2014 +log- [(1)琉球大,(2)岐阜大] YA 0 12k-148111 So, 重要 246,247 M f(x) n n y=f(x) n n 1 n <f(x)=(1+x) / n →dx [参考] 積分区間は, lim 20 n→∞k=1 の形なら すべて 0≦x≦1で 考えられる。 2-TAKS> f(x)= (x+1)^(x+2) 右辺の分数式は,左のよう にして、部分分数に分解 する。 分母を払った 1=a(x+1)(x+2) +b(x+2)+c(x+1)^ の両辺の係数が等しいとし て得られる連立方程式を解 く。 または, x=-1,-2,0 など適当な値を代入しても よい。 L 求

解決済み 回答数: 1
英語 中学生

なぜ、答えが 『エ』ではなく 『ウ』になるのか 教えてほしいです🙇‍♀️

次の英文を読んで、問1~問5に答えなさい。 *印のついている語句には,本文のあとに〔注〕があります。(10分) A 1901, the Nobel Prize has *honored men and women from all over the world for great work in science, writing, and peace. The Nobel Prize is an *award that was started in Sweden. The name Nobel Prize comes from a Swedish scientist, Alfred Nobel, who made more than 350 *inventions. In 1895, a year betore he died. he set up the award. Many people think the Nobel Prize is the greatest award a person can receive. Twenty two people from Japan have received the Nobel Prize. Recently, awards were given to three scientists from Japan in 2014 (for their work in science. These three scientists, Isamu Akasaki, Hiroshi Amano, and Shuji Nakamura, made a bright blue *LED in the 1990s. All three colors are needed to make a white LED. White LEDs are bright, last for a long time, and don't use much *energy. Because of this, white LEDs are becoming more and more popular. They are B than fluorescent lights or *incandescent lights, but people can use them for a longer time. People can use LEDs for about 100,000 hours. That is 10 times as long as people can use fluorescent lights and 100 times as long as people can use incandescent lights. (2 Perhaps you are thinking that these scientists are cleverer than you. Their invention is really special, but they are people just like you. (3) People said that they could not do it. They had to make their own *equipment for their work. they tried more than a thousand times, they still were not able to make a blue LED. But they never gave up and finally they did it. Perhaps one day, if you work hard, you will get the Nobel Prize, too. Nobel Prize ノーベル賞 award LED I'I ・発光ダイオード 蛍光灯 機器 ……………. fluorescent equipment 〜をたたえる 発明品 honor invention energy I: incandescent 白熱灯 .…....

解決済み 回答数: 2
英語 中学生

なぜ、答えが『ウ』 ではなく『イ』なのか 教えてほしいです🙇‍♀️

次の英文を読んで、問1~問5に答えなさい。 *印のついている語句には,本文のあとに〔注〕があります。(10分) A 1901, the Nobel Prize has *honored men and women from all over the world for great work in science, writing, and peace. The Nobel Prize is an *award that was started in Sweden. The name Nobel Prize comes from a Swedish scientist, Alfred Nobel, who made more than 350 *inventions. In 1895, a year betore he died. he set up the award. Many people think the Nobel Prize is the greatest award a person can receive. Twenty two people from Japan have received the Nobel Prize. Recently, awards were given to three scientists from Japan in 2014 (for their work in science. These three scientists, Isamu Akasaki, Hiroshi Amano, and Shuji Nakamura, made a bright blue *LED in the 1990s. All three colors are needed to make a white LED. White LEDs are bright, last for a long time, and don't use much *energy. Because of this, white LEDs are becoming more and more popular. They are B than fluorescent lights or *incandescent lights, but people can use them for a longer time. People can use LEDs for about 100,000 hours. That is 10 times as long as people can use fluorescent lights and 100 times as long as people can use incandescent lights. (2 Perhaps you are thinking that these scientists are cleverer than you. Their invention is really special, but they are people just like you. (3) People said that they could not do it. They had to make their own *equipment for their work. they tried more than a thousand times, they still were not able to make a blue LED. But they never gave up and finally they did it. Perhaps one day, if you work hard, you will get the Nobel Prize, too. Nobel Prize ノーベル賞 award LED I'I ・発光ダイオード 蛍光灯 機器 ……………. fluorescent equipment 〜をたたえる 発明品 honor invention energy I: incandescent 白熱灯 .…....

解決済み 回答数: 1