Example 12 - Discuss continuity of f(x) = {x + 2, -x + 2 - Examples

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Example 12 Discuss the continuity of the function defined by = & +2, <0 & +2, >0 We have, = & +2, <0 & +2, >0 Here, the given function is not defined at =0. So, we check continuity for all real numbers except 0. Case 1 Let = where <0. = +2 is continuous at = if lim x = Hence lim x = is continuous at = where <0. is continuous at all Real points less than 0. Case 2 Let = where <0. = +2 is continuous at = if lim x = Hence lim x = is continuous at = where >0. is continuous for all Real points greater than 0. Hence, is continuous for all Real points except 0. is continuous for

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.