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Mathematics Senior High

(2)について、はさみうちを使わずに2枚目のように1^1/∞ = 1と答えるのは間違いでしょうか?

項④4. 基本132 中部大,関西大) +3x+x) して,まずい 分母・分子を ることに注意。 のもよい。 3x² √√x 1 √3x ・分子に -1 を掛け - で割る。 基本例題 134 関数の極限 ( 4 ) はさみうちの原理 次の極限値を求めよ。 ただし, [x]はxを超えない最大の整数を表す。 [3x] xC (1) lim x-x 指針 極限が直接求めにくい場合は, はさみうちの原理 (p.218⑤2) の利用を考える。 n≦x<n+1 (nは整数)のとき [x] = n すなわち [x] ≦x<[x]+1 よって [3x]≧3x<[3x] +1 この式を利用してf(x)≦ [3x] ≦g(x) x (ただしlim f(x)=limg(x)) となるf(x), g(x) を作り出す。なお,記号[]はガウ CHART 求めにくい極限 不等式利用ではさみうち 解答 (1) 不等式 [3x]≧3x<[3x]+1が成り立つ。x>0 のとき,各辺 [3x] [3x] 1 ≤ 3< + ここで, x x をxで割ると Arde ス記号という。 (2)が最大の項でくくり出すと (359(12/12/2)+1}* +] (1/2)" の極限と{(1/3) +1123 の極限を同時に考えていくのは複雑である。そこで、はさ 3< [3x] + 1/ # x x 練習 134 [x]+1から3- って みうちの原理を利用する。 x →∞であるから,x>1 すなわち0< − <1 と考えてよい。 x I im(3-1)=3であるから X このとき すなわち 1 (2) lim (3*+5)* X-8 < [3x] x tom{(1/2)+1)}=1であるから lim² lim x→∞ x [3x] +²=(()*+1}}={(²)+)² =! x→∞であるから,x>10<<1と考えてよい。 XC {( ²³ )* + 1}° <{( ³ ) * +1} * <{( ³ ) * +¹} *--- (*) 3- 3 1<{(1/2)+1/ 1¹ < { ( 3³ )* + 1} * < ( ²³ )* + 1 (1/28) lim =3 1 [3x] < x +1 =1 p.218 基本事項 5. 基本 105 ≤3 5 lim(3* + 5*) * = lim 5{( 3 )*+1} * = 5+1=5 x→∞ X→∞ はさみうちの原理 f(x)=(x)=g(x) で limf(x)=limg(x)=α →∞ 次の極限値を求めよ。ただし[] はガウス記号を表す。 0 [20] 1/²)² + ( ³ ) ²7 ² x-00 ならば limh(x)=α ∞ 底が最大の項5*でくくり 出す。 225 <A> 1 のとき, a <bならば A°<A° である。 (23) +1> (*)が成り立つ。 +1>1であるから、 Op.231 EX100 4章 16 関数の極限

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Mathematics Senior High

私はいまニュージーランドに留学している今年度上智大学を受験予定の高校2年生です。上智大学の経営学科の帰国生入試には和訳問題があるのですが、どれも自分には難しく、現地の先生にアドバイスしていただいてもいまいちわかりません。どなたか、回答を教えていただければと思います。 下線... Read More

Why - and why now? Because of the shift in the Experience Economy. Goods and services are no longer enough; what consumer want today are experience - memorable events that engage them in an inherently personal way. As paid-for experiences proliferate, people now decide where and when to spend their money and time - the currency of experiences - as much if not more than they deliberate on what and how to buy (the purview of goods and services). (1) But in a world increasingly filled with deliberately and sensationally staged experiences - an increasingly unreal world - consumers choose to buy or not buy based on how real they perceive an offering to be. Business today, therefore, is all about being real. Original. Genuine. Sincere. Authentic. In any industry where experiences come to the fore, issues of authenticity follow closely behind. Think of Disneyland. No place before or since its opening in 1955 has provoked more debate on authenticity within modern culture, nor has any other business sparked more controversy on the effect of commercial activity on the reality of modern living than the Walt Disney Company. (2) Or think coffee. Starbucks earns several dollars for every cup of coffee, over and above the few cents the beans are worth, precisely because it has learned to stage a distinctive coffee-drinking experience centered on the ambience of each place and the theatre of making each cup. Perhaps no other company in the world more earnestly and steadfastly seeks to render authenticity ー resolutely shaping how real consumers perceive it to be. The task has become harder and harder, however, as Starbucks has grown from one shop in Seattle to over 13,000 venues around the world, for nothing kills authenticity like ubiquity. The success of Starbucks no longer depends on its operational prowess or taste superiority; it lies solely in sustaining coffee drinkers' perception of the Starbucks experience as authentic. (3) Now that the Experience Economy has reached full flower - supplanting the Service Economy as it had in turn overtaken the Industrial Economy, which itself had replace the Agrarian Economy - such issues of authenticity now bear down on not only all experience offerings but across all of the economyY.

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