請問這題要怎麼算

(Cx²+1, X²3 f(x) = {cx-1, x>² 73 find C so that f is continuous on (-∞0,00) 3. f(x) = 0

請問一下這題，謝謝٩(•̤̀ᵕ•̤́๑)

11, Vike, hated the comm all the shopping_and gift-present overshad adecision to give him a diff #th lon .. | 13. 設41.3), B3, -5)且直線L:y = PIX +1與AB 相交,求 ni 的範圍為何? - } .3ath 37 atb 2a = -8 a=-4 b=1 y=-4X+ 4X-y = -1 I y=mx+1 下列何者 #

圈起來的地方，為何講到連續性區間，括號就是中括號；可微分的區間就是用小括號啊？

:) THEOREM 3.3 Rolle's Theorem Let f be continuous on the closed interval [a, b] and differentiable on the open interval (a, b). If f(a) = f(b), then there is at least one number c in (a, b) such that f'(c) = 0.

想問b為什麼在3時不連續 ？ 我的想法是：在3時存在，而存在一定連續。

45. Let --X V = if x < 0 f(x) = 3 - x = 3- x if 0 < x < 3 (x - 3)2 if x > 3 - xo+ xo- x>0 (a) Evaluate each limit, if it exists. (i) lim f(x) 3 (ii) lim f(x)0 (iii) lim f(x) fxO Flatte (iv) lim f(x) O (v) lim f(x) 0 (vi) lim f(x) 0 ( (b) Where is f discontinuous? at 0 and 3* o 3 (c) Sketch the graph of f. tis- x x x 3

求解28題 感恩🙇

36. Sup ang 22-25 Explain, using Theorems 4, 5. 7. and 9. why the function is continuous at every number in its domain. State the domain. 2.x2 - x - 1 2 22. F(x) 23. 20) = r2 + 1 By Le (a) (b 24. h(x) = cos(1 – x?) 25. M = N DI 38. W tir 26-29 Use continuity to evaluate the limit. 26. lim x 20 – x2 27. lim sin(x + sin x) ULTET (28) lim x'tan r 11/4 29. lim x®/Vx2 + x - 2 IX 30. Show that f is continuous on (-00, ). 39. S f(x) = x2 if x < 1 x-1 if x>1 31-32 Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the whı sont o LINE TERANG 1633 是