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数学 高校生

この極限ってなんで0何ですか?1にならないですか、、?

x+b 例題 62 連続と微分可能 **** 関数f(x)= sin- x 20 (x=0) (x=0) 「商の微分」 1 は, x=0で連続か. また, x=0で あるとす (Sh) 微分可能か . x)+A(x)g'(x) E-S 考え方 連続も微分可能もそれぞれ定義に戻って考える. <連続> 〈微分可能> f(x) がx=aで連続 f(x) がx=aで微分可能 limf(x)=f(a) ⇔f'(a)=lim f(ath)-f(a) (1) h→0 E) h が存在する+ 解答 このとき、「微分可能であれば連続」 であるが,「連続であっても,微分可能とは限らな 「あれば連続」であるが、「連 「い」ことに注意する. 4y=f+h)(xh)-(x)g(x) x=00 sin ssins より 10≤ x'sin≤x² limx=0 より,4x 0+x limf(x)=f(0) であるか確 20x (x)10(x+h)+(x)(かめて、x=0 で連続かど f(x+h)-f(x) limx'sin |=0 は連 0 したがって, X limf(x)=limxsin=0 x 0 x うか調べる. より、各辺にxを ( 掛けても不等号の向きは 変わらない. +1)4(S-30-* f(0)=0 より limf(x)=f(0) となり x 0 各辺をx→0として極限 (I+x-) をとり, はさみうちの原理 を利用する. 関数 f(x) は x=0 で連続である f(0+h) f(0) 次に, lim 商の微分の h 1 h² sin 0 h 対するyの増分 pla=lim h→0 h 1 Dim sind (imsin ①ho =limhsin ....... hop (x) h→0 h→0 0<hsing ≦|h|, lim||=0 より ①は, 1 ここlimhsinn =0 h→0 よって、f'(0) が存在するので. 関数f(x) は x=0で微分可能である。 x=0で微分可能かどうか 調べる. YA |y=f(x) (x)D 1>3 f'(0) 0 0 ( -x)(1+1)=

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英語 高校生

英検準一級の要約問題です。 添削していただけないでしょうか?🙇‍♀️

英検公式サンプル問題 ⚫ Instructions: Read the article below and summarize it in your own words as far as possible in English. ⚫ Suggested length: 60-70 words Write your summary in the space provided on your answer sheet. Any writing outside the space will not be graded. From the 1980s to the early 2000s, many national museums in Britain were charging their visitors entrance fees. The newly elected government, however, was supportive of the arts. It introduced a landmark policy to provide financial aid to museums so that they would drop their entrance fees. As a result, entrance to many national museums, including the Natural History Museum, became free of charge. Supporters of the policy said that as it would widen access to national museums, it would have significant benefits. People, regardless of their education or income, would have the opportunity to experience the large collections of artworks in museums and learn about the country's cultural history. Although surveys indicated that visitors to national museums that became free increased by an average of 70 percent after the policy's introduction, critics claimed the policy was not completely successful. This increase, they say, mostly consisted of the same people visiting museums many times. Additionally, some independent museums with entrance fees said the policy negatively affected them. Their visitor numbers decreased because people were visiting national museums to avoid paying fees, causing the independent museums to struggle financially.

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