急！想請問這題🥲謝謝

16 lim (VX/X -X) att lim √x+X-X ✓X+X -X √x X+X X XtXtyr att X-XtX 2. JX EX+X X x lim L X+ XtXS arte X Z Vx+x) X =) lim. I (RIA)

1 跟2都看懂了 可以問一下為什麼第三題是這樣嗎？謝謝！

(1 point) Suppose f'(x) is a differentiable decreasing function for all x. In each of the following pairs, which number is the larger? For each, enter A or B. 1. Comparing A. f'(8) and B. f'(9): A is larger 2. Comparing A. f" (8) and B. O: B is larger 3. Comparing A. f(8 + Ax) and B. f(8) + f'(8)Ax: B is larger For each, make sure that you can explain why.

計算給定函數的導數，並找到與指定值的圖形相切的直線的方程。第21題不會算。

= = - = - In Exercises 13 through 24, compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value x = c. 13. f(x) = 2; c = 13 x 14. f(x) = 3; c = -4 15. f(x) = 7 - 2x; c = 5 16. f(x) = 3x; c = 1 17. f(x) = x; c = 1 18. f(x) = 2 - 3x?; c = 1 -2 19. f(x) = 3 ;c = -1 20. f(x) 3 2 2XUD 21. f(x) = 2Vx; c = 4 22. f(x) 1 = 2. = - = x = pic ;

求解33題 感恩🙇

30. lim x csex 21 29. lim sec ---(4/2)+ x x 22 31. lim x==2 4x + 4 32. lim X-2+ x x² - 2x - 8 x² - 5x + 6 8 33. Find the vertical asymptotes of the function x? + 1 3x - 2.x2 1 ||||| 1 34. Determine lim and lim X-TX r- (a) by evaluating f(x) = 1/(x - 1) for values of x that ap- proach 1 from the left and from the right, (b) by reasoning as in Example 8. 35. (a) Evaluate the function f(x) = x2 - (24/1000) for x = 1.

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

請問a,b 謝謝

2. Find the answer for the following. a) [cot 73x] (b) (J2x² -1 - cos V2x) dx

想請問一下這題這麼解 謝謝 （主要是e的用法不懂？？）

23. 21-26 Find a formula for the inverse of the function. 23. f(x) = e27-1

請問這題怎麼解

x d x u 5x-1

想請各位幫忙解釋一下這題，不是很懂要從哪著手🙏🙏

Sºm min(x², 2x + 3)dx

想請問這題如何以{區間}方式表示?謝謝

(2) x3 > x,