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The function f(x) = ,ifk,if{sinxx+cosx, ifx≠0k, ifx=0 is continuous at x = 0, then the value of k is ______. - Mathematics

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Question

The function f(x) = `{{:(sinx/x + cosx",",  "if" x ≠ 0),("k"",",  "if" x = 0):}` is continuous at x = 0, then the value of k is ______.

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  • 3

  • 2

  • 1

  • 1.5

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Solution

The function f(x) = `{{:(sinx/x + cosx",","if"  x ≠ 0),("k"",", "if"  x = 0):}` is continuous at x = 0, then the value of k is 2.

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Chapter 5: Continuity And Differentiability - Solved Examples [Page 103]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 5 Continuity And Differentiability
Solved Examples | Q 24 | Page 103

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