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تفاعل اور حدود

بارہویں جماعت · ریاضی · 5 سوالات

نام: ____________________   تاریخ: ____________

  1. The limit of (x2 - 1) / (x - 1) as x tends to 1 is:

    • A 0
    • B 2
    • C Does not exist
    • D 1
  2. The limit of sin x / x as x tends to 0 is:

    • A 1
    • B -1
    • C Infinity
    • D 0
  3. The limit of (3x + 2) as x tends to 2 is:

    • A 6
    • B 2
    • C 4
    • D 8
  4. A function f is continuous at x = a if the limit as x tends to a equals:

    • A a
    • B f(a)
    • C 1
    • D 0
  5. The limit of (1 + 1/n)^n as n tends to infinity is:

    • A 1
    • B Infinity
    • C 0
    • D e

جوابی کلید

1. B, 2. A, 3. D, 4. B, 5. D

  1. (x + 1)(x - 1) / (x - 1) = x + 1, which tends to 2.

  2. This is a standard limit equal to 1.

  3. Substitute x = 2: 6 + 2 = 8.

  4. Continuity needs the limit to equal the function's value.

  5. This is the definition of the number e.