# Example 6 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Example 6 Prove that the identity function on real numbers given by f (x) = x is continuous at every real number. Given ๐ (๐ฅ) = ๐ฅ Let c be any real number. ๐ is continuous at ๐ฅ=c if ๏ทlim๏ทฎxโ๐๏ทฏ ๐๏ท๐ฅ๏ทฏ=๐(๐) โด ๏ทlim๏ทฎxโ๐๏ทฏ ๐๏ท๐ฅ๏ทฏ=๐(๐) Hence, f is continuous at ๐ฅ =๐ โ f is continuous for x = c , where c โR โด f is continuous for every real number.

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About the Author

Davneet Singh

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.