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Let f :  be a function and let J be a bounded open interval in Define

Which one of the following is false?
  • a)
  • b)
    If f is a bounded function in J and  such that the length of the interval Jn tends to 0 and 
  • c)
    If f is discontinuous at a point a ∈ J, then W(f, J) ≠ 0
  • d)
    If f is continuous at a point a ∈ J then for any given ∈ > 0 there exists an interval  J such that W(f, I) < ∈
Correct answer is option 'B'. Can you explain this answer?
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Let f :be a function and let J be a bounded open interval in DefineWhich one of the following is false?a)b)If f is a bounded function in J andsuch that the length of the intervalJn tends to 0 andc)If f is discontinuous at a pointa ∈ J, then W(f, J) ≠ 0d)If f is continuous at a pointa ∈ J then for any given ∈ > 0 there exists an intervalJ such that W(f, I) < ∈Correct answer is option 'B'. Can you explain this answer?
Question Description
Let f :be a function and let J be a bounded open interval in DefineWhich one of the following is false?a)b)If f is a bounded function in J andsuch that the length of the intervalJn tends to 0 andc)If f is discontinuous at a pointa ∈ J, then W(f, J) ≠ 0d)If f is continuous at a pointa ∈ J then for any given ∈ > 0 there exists an intervalJ such that W(f, I) < ∈Correct answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let f :be a function and let J be a bounded open interval in DefineWhich one of the following is false?a)b)If f is a bounded function in J andsuch that the length of the intervalJn tends to 0 andc)If f is discontinuous at a pointa ∈ J, then W(f, J) ≠ 0d)If f is continuous at a pointa ∈ J then for any given ∈ > 0 there exists an intervalJ such that W(f, I) < ∈Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f :be a function and let J be a bounded open interval in DefineWhich one of the following is false?a)b)If f is a bounded function in J andsuch that the length of the intervalJn tends to 0 andc)If f is discontinuous at a pointa ∈ J, then W(f, J) ≠ 0d)If f is continuous at a pointa ∈ J then for any given ∈ > 0 there exists an intervalJ such that W(f, I) < ∈Correct answer is option 'B'. Can you explain this answer?.
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