मराठी

The value of k which makes the function defined by f(x) = ,ifk,if{sin 1x, if x≠0k, if x=0, continuous at x = 0 is ______. - Mathematics

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प्रश्न

The value of k which makes the function defined by f(x) = `{{:(sin  1/x",",  "if"  x ≠ 0),("k"",",  "if"  x = 0):}`, continuous at x = 0 is ______.

पर्याय

  • 8

  • 1

  • –1

  • None of these

MCQ
रिकाम्या जागा भरा

उत्तर

The value of k which makes the function defined by f(x) = `{{:(sin  1/x",",  "if"  x ≠ 0),("k"",",  "if"  x = 0):}`, continuous at x = 0 is none of these.

Explanation:

Indeed `lim_(x -> 0) sin  1/x` does not exist.

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पाठ 5: Continuity And Differentiability - Solved Examples [पृष्ठ १०४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 5 Continuity And Differentiability
Solved Examples | Q 30 | पृष्ठ १०४

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