請問這題🙏 為什麼不能直接取log然後上下約分呢

21. 設n為正整數第n個費馬數(Fermat Number)定義為F =2²+1, = ((1+r) ² ] ² = JT₁ 例如F=2+1=2²+1=5,Fq=2²)+1=2+1=17. 試問的整數部分以十進位表示時, 1232 F12 其位數最接近下列哪一個選項? (E). (log 2 ~ 0.3010)【108 指考甲】答對率 0.56 (A) 120 (B) 240 (C) 600 (D) 900 (E) 1200. 13 12(2-1) 2° 2(213) +1 2({") +) 2. 2. log2 + 0 2. log2 +0 2 二 2 2° 12 2 log2 = 4096 x 0.30) =1232.8

這題~謝謝 請問x=1時極限是不存在還是無限大還是...？

4. 1 y YA r BAUDIA X

48謝謝！

| 2x -0² (b) f(x) = x = 2 (c) f(x) = [sin x], a = π a = 2 44. If f(x) = x² + 10 sin x, show that there is a number c such that f(c) = 1000. 45-48 Use the Intermediate Value Theorem to show that there is a solution of the given equation in the specified interval. 45. -x² + 4x +1=0,(-1,0) 46. 2/x = x - √√x, (2,3) 47. cos x = x, (0, 1) 48. sin x = x² - x, (1, 2) | 49-50 (a) Prove that the equation has at least one real solution. (b) Use a calculator to find an interval of length 0.01 that

第3 謝謝！！

3. Use the given graph of f(x) = √√x to find a number 8 such that if |x − 4| < 8 then |√x - 21 <0.4 2.4 2 1.6° |x-1|<8 0 12 YA 4 y = √√x 4. Use the given graph of f(x) = x² to find a number 8 such that if 7 X

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limit is L. Take ε = arrive at a contradiction.] 23. If the function f is defined by prove that limx→o f(x) does not exist. 24. By comparing Definitions 2, 3, and 4, prove T lim f(x) = L____if and only if lim_f(x) = x→a N 25. How close to -3 do we have to take x so that 1 10,000 (x + 3)4 27. Prove that lim 26. Prove, using Definition 6, that lim F11 000 f(x) = = J 3 金 26 F12 28. Suppose that limx→a f(x) = ∞ and limx→a g(x) c is a real number. Prove each statement. 届 (a) lim [f(x) + g(x)] = ∞ x-a - 儿 鄉 in the definition of a l 5 x→−1− (x + 1)³ (1) 0 if x is rational if x is irrational Insert + 11 = PrtSc 77% 33 x-a- x→-3 (x + 3)4 -00元 Delete Backspace 28°C Fn Q Home Num Lock End

K,L🙏 thanks

0 101 2 whose graph is given, state the value of ts. If it does not exist, explain why. lim h(x) 3+ lim h(x) x-07 (h) h(0) (k) lim h(x) x-5+ 2 ✓ 4 X (c) lim_h(x) --3 (f) *_(+\.x) (i) lim h(x) X-2 (1) lim h(x) x-5 6 X whose graph is shown, find a number a iven description. not exist but g(a) is defined. s but g(a) is not defined.

請問k.l

wnloads/ch1%20(2).pdf -2 0 2 tion h whose graph is given, state the value of y, if it exists. If it does not exist, explain why. _x) (b) lim h(x) (c) lim h(x) *13+ x-3 (e) lim h(x) x-0 (h) h(0) (k) lim h(x) x-5+ 2 4 4 X 6 (f) lim h(x) x 0+ (i) lim h(x) x 2 (1) lim h(x) x-5- X on g whose graph is shown, find a number a LE

求救第55題 完全看不懂他要我幹嘛

Year slenue Req) = 1932 1958 +1000 q R 9)=-1000q =74 1963 1968 COM If the price in dollars of a stereo system is given by 1000 p(q) + 1000, 1000 ² q where q represents the demand for the product, find the mar- ginal revenue when the demand is 10. 54. Profit Suppose that for the situation in Exercise 53 the cost in dollars of producing a stereo systems is given by C(q) = 0.2q2 + 69 + 50. Find the marginal profit when the demand is 10. 59. Marginal Product of Labor The output y of a manufacturing y process is a function of the size of the labor force n using the function 1990 +1000 1971 1974 = 990 197 197 19 19 1 y = kVn. The marginal product of labor, defined as dy/dn, measures the rate that output increases with the size of the labor force, and is a measure of labor productivity. (a) Show that (c) Using the a cubic f respond the rate and 200 (d) Discus descri part ( the y (e) Exp data calc ful x C(x) = 58. Money 1955-7 dy k dn an (b) How can you tell from your answer to part (a) that as the size of the labor force increases, the marginal product of labor gets smaller? This is a phenomenon known as the law of diminishing returns, discussed more in the next chapter. 56. Profit An analyst has found that a company's costs and rev- enues in dollars for a product are given by x2 C and R(x) 2x 2 5000' respectively, where x is the number of items produced. (a) Find the marginal cost function. (b) Find the marginal revenue function. (c) Using the fact that profit is the difference between revenue and costs, find the marginal profit function. (d) What value of x makes the marginal profit equal O? (e) Find the profit when the marginal profit is 0. (As we shall see in the next chapter, this process is used to find marimum profit.) A wher in bi find year (a) (C) (e) nad since

第二小題,謝謝

lugulo Livily. 6. OOO 天文學以「視星等」來描述地球上肉眼所見星體的相對明 亮程度,此概念最早是由古希臘天文學家依巴谷制定的, 他把自己編制的星表中的 1022顆恆星按照亮度劃分為6 個等級,天上最亮星為1等星,人眼能見的最暗星為6等 星。1850年則由英國天文學家普森測量並確認1等星比6 等星 100 倍。 (1)已知每個星等間的亮度都相差一個固定倍數,請問1等 星的亮度是2等星亮度的幾倍?(小數點後第三位四捨 五入)(單選題) (A)1.58倍 (B)1.99倍 (C)2.51倍 (D)3.16 倍 (E)3.98 倍。 AM - 00 Y leg raz y":00 r=10 -)}}8 51189 rolgos 100volg .. ) < 100% <3 (2)承上題,當時1~6的星等已不足以描述所有天體的亮 度,天文學家將原有的等級延展,引入了「負星等」的 概念,並沿用至今。已知太陽的視星等是 - 26.74,满 月的平均視星等是 - 12.74,請問太陽的亮度約為月球 亮度的幾倍?(四捨五入至整數位)(非選擇題) 25 -2.25 Ar 14 (-) - } B.N Air 1oooooo 2.5 (5 (5)". 318406 7. 設n為正整數。第n個費馬數(Fermat Number)定義為 F, = 2(2") + 1 GÅ F1 = 2(2') + 1 = 22 + 1 = 5 11

求解這三題謝謝！

23. 設n為正整數。第n個費馬數(Fermat Number)定義為F = 2) +1,例如 F, 2+1= +1= F = 2^2)+1=2 +1=5, F. = 25 +1=2 +1=17。試問為幾位數? , () +24 1 = FO (使用計算機) 【108 指甲改編 A: 1233