求解25、29跟32

108 13. lim 15. lim 17. lim 19. lim 818 21. lim x18 CHAPTER 2 23. lim 31² + aitab od n61² + 1 - 5 lin 1³ - 4t + 1 14. lim 9-2/² n r - p³ 2² + 3r³ 4-√√√x 2 + √√x √x + 3x² 4x 1 √1 + 4x6 2-x² (12 saior,558) 2x5 - X x→→∞ x² + 3 26. lim (√x² + ax X-8 27. lim (x - √x) x →8 25. lim (√25t² + 2 − 5t) 1900 29. lim (e-2x cos x) X18 31. lim esec x X→(π/2) + - L 33. (a) For f(r) = LIMITS AND DERIVATIVES OT32 X M mbinogest 20 16. lim 18. 3x³8x + 2 x→∞ 4x²³5x² - 2 20. lim 1-8 lim →20 22. lim 8118 yd boonlqs ei 24. lim √x² + bx) 32. lim [ln(1 + x²) − In(1+x)] - x18 (u² + 1)(2u² - (u² + 2)² t + 3 odme 30. lim √21² - 1 √√1 + 4x6 2 - x² ledre att n q³ + 69 - 4 q→∞ 4q² − 3q + 3 SO 28. lim (x² + 2x²) 8118 1- e* *→∞ 1 + 2e*

想問這題要怎麼解 只有想到要用左右極限相等

15. Let x cot kx if x < 0 = (2.0) if x ≥ 0 EURCHSHA Find the value of c that will make f continuous at x = 0. FIGURS Glaidw |[ 2.0] to unioqbim srb (7) f(x) Jx L x ² + c =

求解 微積分

Example 4. Find lim xecos 1 T-0 0 ≤|cos | ≤1 => e«el cos 12 E °° lim x ²³ e ²° = 0 and I'm x ²e²=0 X70 X-0 Cost Ee =0 by

求這題

zu dopted limit = 3 470 + fixo) nino Let f: R→ R, f(x + h) = f(x)f(h) and f(0) 0. Prove that (a) f(0) = 1 and [(b) if f'(0) exists, then f'(x) does exist for all x ER and f'(x) ƒ(x) · ƒ'(0). x² cos x sinx

求這題

1 x Let f(x) = {²sin, if x 40; if x = 0. 0. , (a) Find f'(0) if it exists. (b) Is f' continuous at x = 0? (ED C

求這題～～～

9. Let f(x): = 1 , f(0) = 0 7 dx fixty) = ax (tex) +Pay) +zry) = f(x+y) dx dx for x > 0. Show that the area of the triangle, which is X bounded by any tangent line to the curve of f and the two coordinates + axes, is of 2 square units. f(0) = 0 {x

求b小題

dt' Find the equations of the tangent and normal line at the indicated point. (a) x² + y² = 169, (5, 12) (b) z² + z tan ¹y=y> 1, (−1)

求這三題

16. Find ďy dx² + y² = 1 (b) x³ + y³ = 1 (c) √√x - √y=1 (a) x² + y² = 1

求過程 算到最後卡住了

To 1-3 -1 301 | R₂ + ZR₁ Brok: 02 6 1-5 0 - R3-R1 03-924 |-|| R4 +R₁ N 2₁ R₁ - R₂ R3+5R₂ T 0-1 3 1 3 2 01-302 ött 00 32 | 1 。 O 0622 -R2- 0 CONCE 1-3 -1 30 17 000 5-51-4 0000622 200 1-10-1 22 11

微積分求救！

MGT Calculus Homework Assignment 3 5. Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, given an example to show why it is false. If f(x) = πª, then f'(x) = xπª-¹. False 7 [$3.1 - 77] 6. F