Check Full Chapter Explained - Continuity and Differentiability - https://you.tube/Chapter-5-Class-12-Continuity

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Concept wise

Transcript

Example 12 Discuss the continuity of the function defined by ๐‘“(๐‘ฅ)={โ–ˆ(& ๐‘ฅ+2, ๐‘–๐‘“ ๐‘ฅ<0@&โˆ’๐‘ฅ+2, ๐‘–๐‘“ ๐‘ฅ>0)โ”ค ๐‘“(๐‘ฅ)={โ–ˆ(& ๐‘ฅ+2, ๐‘–๐‘“ ๐‘ฅ<0@&โˆ’๐‘ฅ+2, ๐‘–๐‘“ ๐‘ฅ>0)โ”ค 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 > 0 Case 1 : When x < 0 For x < 0, f(x) = x + 2 Since this a polynomial It is continuous โˆด f(x) is continuous for x < 0 Case 3 : When x > 0 For x > 0, f(x) = โˆ’x + 2 Since this a polynomial It is continuous โˆด f(x) is continuous for x > 0 Hence, ๐‘“ is continuous for all Real points except 0. Thus, ๐’‡ is continuous for ๐’™ โˆˆ๐‘โˆ’{๐ŸŽ}

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.