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If 
 
then f(x) is 
  • a)
    continuous as well as differentiable at x = 0
  • b)
    continuous but not differentiable at x = 0
  • c)
    differentiable but not continuous at x = 0
  • d)
    neither continuous nor differentiable at x = 0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Ifthen f(x) isa)continuous as well as differentiable at x = 0b)continu...
we have




Since  Lf'(0) = Rf' (0), therefore f(x)  is differentiable at x = 0
Since differentiability
⇒ continutity, therefore f(x) is continuous at x = 0.
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Ifthen f(x) isa)continuous as well as differentiable at x = 0b)continuous but not differentiable at x = 0c)differentiable but not continuous at x = 0d)neither continuous nor differentiable at x = 0Correct answer is option 'A'. Can you explain this answer?
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Ifthen f(x) isa)continuous as well as differentiable at x = 0b)continuous but not differentiable at x = 0c)differentiable but not continuous at x = 0d)neither continuous nor differentiable at x = 0Correct answer is option 'A'. 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 Ifthen f(x) isa)continuous as well as differentiable at x = 0b)continuous but not differentiable at x = 0c)differentiable but not continuous at x = 0d)neither continuous nor differentiable at x = 0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ifthen f(x) isa)continuous as well as differentiable at x = 0b)continuous but not differentiable at x = 0c)differentiable but not continuous at x = 0d)neither continuous nor differentiable at x = 0Correct answer is option 'A'. Can you explain this answer?.
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