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If the function defined as

Then, the function f (x) has
  • a)
    a discontinuity of second kind at the point x = 1
  • b)
    a discontinuity of second kind at the point x = 0
  • c)
    a removable discontinuity at the point x = 1
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the function defined asThen, the function f (x) hasa)a discontinuit...

So, the function is not continuous at the point x = 1. The discontinuity is of the first kind and can be removed by defining function as f (x) = – 1.
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Most Upvoted Answer
If the function defined asThen, the function f (x) hasa)a discontinuit...

So, the function is not continuous at the point x = 1. The discontinuity is of the first kind and can be removed by defining function as f (x) = – 1.
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If the function defined asThen, the function f (x) hasa)a discontinuity of second kind at the point x = 1b)a discontinuity of second kind at the point x = 0c)a removable discontinuity at the point x = 1d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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If the function defined asThen, the function f (x) hasa)a discontinuity of second kind at the point x = 1b)a discontinuity of second kind at the point x = 0c)a removable discontinuity at the point x = 1d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If the function defined asThen, the function f (x) hasa)a discontinuity of second kind at the point x = 1b)a discontinuity of second kind at the point x = 0c)a removable discontinuity at the point x = 1d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the function defined asThen, the function f (x) hasa)a discontinuity of second kind at the point x = 1b)a discontinuity of second kind at the point x = 0c)a removable discontinuity at the point x = 1d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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