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A function f(x) is defined as f (x) = [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 because
  • a)
    The right-hand limit does not exit
  • b)
    The left-hand limit does not exist
  • c)
    The right-hand and left-hand limit are not equal
  • d)
    The right-hand limit is = the left-hand limit ≠ value of the function f(x)
Correct answer is option 'D'. Can you explain this answer?
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A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer?
Question Description
A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer?.
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Here you can find the meaning of A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A function f(x) is defined as f (x)= [1 − x2] , − 1 ≤ x ≤ 1 , where [x] denotes the greatest integer not exceeding x. The function f(x) is discontinuous at x = 0 becausea)The right-hand limit does not exitb)The left-hand limit does not existc)The right-hand and left-hand limit are not equald)The right-hand limit is = the left-hand limit ≠ value of the function f(x)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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