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数学 高校生

赤線部が分かりません。 3枚目の写真のようになるのではないかと思ってしまいます。 分かる方いらっしゃったら教えて頂けると嬉しいです

(1) f(z)は ェ=0 で連続であるが, S'(0) は存在しないことを示せ, (2) g'(0)は存在するが, g'(z)は エ=0 で不連続であることを示せ。 専問 23 微分可能と連続 (エ=0) 0 (ェ=0) 0 9(z)= f(x)= r'sin I とする。 (エキ0) Isin I . (0キエ) (鳥税 連続性,微分可能性, いずれも定義 に立ち返って考えます。 (1) f(0)=0 ですから, エ=0 で連続であるこ 解法のプロセス エ=0 で連続(微分可能)を 精講 f(0)=0 だから とは 1 =0 lim f(h)=limhsin oi23limf(h)=0 h h→0 h→0 h→0 f(h) が成り立つことです. 問題は振動する sin の h lim が存在する \h→0 h を示す 扱い方ですが,sin-S1 を用いてはさみ打ち にします。f(0) が存在しないことを示すにも, 微分係数の定義にもとづいて, 三角関数の値の振 動に注目することになります。 (2) ほぼ(1)と同様です。 ただし, (1)の結果をう まく利用して簡潔な答案になるように心がけます。 解答 (1) f(0)=0 より 0<|f(h)-f(0)|=If(h)|=|hsin-<lh| はさみ打ち . 1f(h)-f(0)|→0 (h→0) : f(h)→ f(0) (h→0) ゆえに,f(z) は エ=0 で連続である.次に f(h)-f(0)-sin(hキ0) S1 h 2 において, limsin は振動して有限な値に収束 (n (2n+1)π =h h→0 とすると, しないから,f'(0) は存在しない。 sin-=(-1)" h

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英語 高校生

お願いします

3. The content on the Aspero Designs Web site is protected by copyright law and may not be reproduced - the company's written consent. 1. behind 2. without 3. except 4. before 4. Dr. Hemana and Dr. Wareham, the joint recipients of the Cobalt Research Prize, have known since they were university students in Auckland. 1. other one 2. another one 3. any other 4. each other 5. This afternoon's flights to Barcelona, London, and Rome have all been delayed inclement weather in the destination cities. 1.. as for 2. due to 3. now that 4. only if 6. Patrons who arrive at the theater the show has begun will not be seated until the intermission. 3. along 1. wherever 2. into 4. after 7. The new-product development meeting will be held either in Room 402 in Room 501. 1.. or 2. and 3. not 4. but 8. Printer cartridges can be found in the supply cabinet the file folders. 1.. at 2. from 3. with 4. along 9. Mr. Wong will travel to the management seminar in Singapore on 1.. he 2. himself 3. him 4. his own 10. Market researchers reported that customers were most impressed the Vestra Coffeemaker's delayed-start function. 1.. by 2. beyond 3. for 4. since After December 13 customers will be asked to place their orders online use the mail-order form. 1. So as 2. in case 3. rather than 4. provided that 12. its main competitor, the ergonomic chair offered by Well Designs is lightweight and comes in a variety of colors. 1. In contrast to 2. By way of 3. Instead of 4. So as

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英語 高校生

お願い

The Milltown Cinema's outdoor cafe will be closed the winter months. 1. about out of 3. next to 4. during 2. The department-wide changes suggested unanimous approval from company management. 1.. in Ms. Juntasa received 2. of 3. by 4. as 3. The content on the Aspero Designs Web site is protected by copyright law and may not be reproduced - the company's written consent. 1.. behind without 3. except 4. before 4. Dr. Hemana and Dr. Wareham, the joint recipients of the Cobalt Research Prize, have known since they were university students in Auckland. 1. other one 2. another one 3. any other 4. each other 5. This afternoon's flights to Barcelona, London, and Rome have all been delayed inclement weather in the destination cities. 1. as for 2. due to 3. now that 4. only if 6. Patrons who arrive at the theater the show has begun will not be seated until the intermission. 1.. wherever 2. into 3. along 4. after 7. The new-product development meeting will be held either in Room 402 in Room 501. 1.. or 2. and 3. not 4. but 8. Printer cartridges can be found in the supply cabinet the file folders. 3. 1. at 2. from with 4. along 9. Mr. Wong will travel to the management seminar in Singapore on 1.. he 2. himself 3. him 4. his own 10. Market researchers reported that customers were most impressed the Vestra Coffeemaker's delayed-start function. 1.. by 2. beyond 3. for 4. since After December 13 customers will be asked to place their orders online use the mail-order form. 1. so as 2. in case 3. rather than 4. provided that 12. its main competitor, the ergonomic chair offered by Well Designs is lightweight and comes in a variety of colors. 1.. In contrast to 2. By wayof 3. Instead of 4. So as

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