Example 12 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at August 8, 2026 by Teachoo
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Chapter 5 Class 12 Continuity and Differentiability
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Example 12 Discuss the continuity of the function defined by š(š„)={ā(& š„+2, šš š„<0@&āš„+2, šš š„>0)ā¤ š(š„)={ā(& š„+2, šš š„<0@&āš„+2, šš š„>0)ā¤ Here, function is not defined for x = 0 So, we do not check continuity there We check continuity for different values of x When x < 0 When x > 0Case 1 : When x < 0 For x < 0, f(x) = x + 2 Since this a polynomial It is continuous ā“ f(x) is continuous for x < 0 Case 2 : When x > 0 For x > 0, f(x) = āx + 2 Since this a polynomial It is continuous ā“ f(x) is continuous for x > 0 Hence, š is continuous for all Real points except 0. Thus, š is continuous for š āšā{š}
