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Kunci Jawaban dan Pembahasan Soal || Buku Calculus 9th Purcell Chapter 1 - 1.3 Number 1 – 24

Pembahasan Soal Buku Calculus 9th Purcell Chapter 1 Section 1.1

CHAPTER 1 LIMITS

SECTION 1.3 Limit Theorems


Problem Set 1.3, Number 1 – 24.

Calculus 9th Purcell Chapter 1 - 1.3

    In Problem 1–12, use Theorem A to find each of the limits. Justify each step by appealing to a numbered statement, as in Examples 1–4.
  1. lim
    (2x + 1)
    x → 1
     
    2. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  2. lim
    (3x² – 1)
    x → –1
     
    3. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  3. lim
    [(2x + 1)(x – 3)]
    x → 0
     
    4. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  4. lim
    [(2x² + 1)(7x² + 13)]
    x → √2
     
    5. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  5. lim
    2x + 1
    x → √2
    5 – 3x
    6. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  6. lim
    4x³ + 1
    x → –3
    7 – 2x²
    7. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


    Semoga Bermanfaat 😁

  7. lim
    √(3x – 5)
    x → 3
     
    8. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  8. lim
    √(5x² + 2x)
    x → –3
     
    9. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  9. lim
    (2t³ + 15)¹³
    x → –2
     
    10. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  10. lim
    √(–3w³ + 7w²)
    w → -2
     
    11. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  11. lim
    (
    4y³ + 8y
    )
    ⅓
    y → 2
    y + 4
    12. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  12. lim
    (2w⁴ – 9w³ + 19) –¹ᐟ²
    w → 5
     
    13. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


    Semoga Bermanfaat 😁

    In Problems 13-24, find the indicated limit or state that it does not exist. In many cases, you will want to do some algebra before trying to evaluate the limit.
  13.  
    lim
    x → 2
    x2 – 4
    x2 + 4
    14. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  14.  
    lim
    x → 2
    x2 – 5x + 6
    x – 2
    15. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  15.  
    lim
    x → -1
    x2 – 2x – 3
    x + 1
    16. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  16.  
    lim
    x → -1
    x2 + x
    x2 + 1
    17. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  17.  
    lim
    x → -1
    x3 – 6x2 + 11x – 6
    x3 + 4x2 – 19x + 14
    18. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  18.  
    lim
    x → 2
    x2 + 7x + 10
    x + 2
    19. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  19.  
    lim
    x → 1
    x2 + x – 2
    x2 – 1
    20. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


    Semoga Bermanfaat 😁

  20.  
    lim
    x → -3
    x2 – 14x – 51
    x2 – 4x – 21
    21. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  21.  
    lim
    x → -2
    u2 – ux + 2u – 2x
    u2 – u – 6
    22. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  22.  
    lim
    x → 1
    x2 + ux – x – u
    x2 + 2x – 3
    23. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  23.  
    lim
    x → π
    2x2 – 6xπ + 4π2
    x2 – π2
    24. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  24.  
    lim
    w → -2
    (w + 2)(w2 – w – 6)
    w2 + 4w + 4
    25. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


    Semoga Bermanfaat 😁

    In Problems 25-30, find the limits if limx→a f(x) = 3 and limx→a g(x) = –1 (see Example 4).
  25. lim
    x → a
    √[f2(x) + g2(x)]
    26. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  26.  
    lim
    x → a
    2f(x) – 3g(x)
    f(x) + g(x)
    27. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  27. lim
    x → a
    ∛(g(x)) ⋅ [f(x)+3]
    28. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  28. lim
    x → a
    [f(x) – 3]⁴
    29. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  29. lim
    t → a
    [|f(t)| + |3g(t)|]
    30. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


  30. lim
    u → a
    [f(u) + 3g(u)]³
    31. ❤
    PEMBAHASAN:

    Calculus 9th Purcell Chapter 1 - 1.3


Semoga Bermanfaat 😁

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