Example 8 - Discuss continuity of f(x) = x3 + x2 - 1 - Examples


  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise


Example 8 Discuss the continuity of the function f given by ๐‘“ ๏ท๐‘ฅ๏ทฏ= ๐‘ฅ3 + ๐‘ฅ2 โˆ’ 1. Given ๐‘“ ๏ท๐‘ฅ๏ทฏ= ๐‘ฅ3 + ๐‘ฅ2 โˆ’ 1. Let c be any real number. ๐‘“ is continuous at ๐‘ฅ=c if ๏ทlim๏ทฎxโ†’๐‘๏ทฏ ๐‘“๏ท๐‘ฅ๏ทฏ=๐‘“(๐‘) Thus, ๏ทlim๏ทฎxโ†’๐‘๏ทฏ ๐‘“๏ท๐‘ฅ๏ทฏ=๐‘“(๐‘) Hence, f is continuous at ๐‘ฅ =๐‘ โ‡’ f is continuous for x = c, where c โˆˆR โˆด f is continuous for every real number

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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.