Sticky Note
Which of the following is a true statement in a normed space?
  1. Every Cauchy sequence is convergent
  2. Every convergent sequence is Cauchy
  3. Every bounded sequence is Cauchy
  4. None of these
Explanation
  • In any normed space (which is a metric space), every convergent sequence must be Cauchy.
  • This is because, by definition, if a sequence converges to a limit, its terms eventually become arbitrarily close to that limit—and hence to each other.
  • Related MCQs

    ٹاپولوجی کی اصطلاح کا کیا مطلب ہے؟
    1. It is the of theological salvation
    2. It is the study of places and natural features
    3. It is the study of geometric shapes and features
    4. None of these
    اس سوال کو وضاحت کے ساتھ پڑھیں

    1. 23,256
    2. 23,286
    3. 23,278
    4. 23,259
    اس سوال کو وضاحت کے ساتھ پڑھیں

    1. 4200
    2. 4600
    3. 4400
    4. 4800
    اس سوال کو وضاحت کے ساتھ پڑھیں

    1. 40
    2. 45
    3. 55
    4. 35
    اس سوال کو وضاحت کے ساتھ پڑھیں

    1. 51
    2. 52
    3. 53
    4. 50
    اس سوال کو وضاحت کے ساتھ پڑھیں

    Leave a Reply

    Your email address will not be published. Required fields are marked *

    1 + 2 = ?



    All Rights Reserved © TestPoint.pk