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If f(x) = aifif{ax+1 if x≥1x+2 if x<1 is continuous, then a should be equal to ______. - Mathematics

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Question

If f(x) = `{{:("a"x + 1,  "if"  x ≥ 1),(x + 2,  "if"  x < 1):}` is continuous, then a should be equal to ______.

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Solution

If f(x) = `{{:("a"x + 1,  "if"  x ≥ 1),(x + 2,  "if"  x < 1):}` is continuous, then a should be equal to a = 2.

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Chapter 5: Continuity And Differentiability - Solved Examples [Page 106]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 5 Continuity And Differentiability
Solved Examples | Q 38 | Page 106

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