web analytics

Example 5 - Check the points where f(x) = k is continuous - Checking continuity at any point

Slide8.JPG

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

Transcript

Example 5 Check the points where the constant function ๐‘“ (๐‘ฅ) = ๐‘˜ is continuous. Given ๐‘“๏ท๐‘ฅ๏ทฏ=k (๐‘˜ is any constant) Let c be any real number f is continuous at ๐‘ฅ =๐‘ if ๏ทlim๏ทฎxโ†’๐‘๏ทฏ ๐‘“๏ท๐‘ฅ๏ทฏ=๐‘“(๐‘) Hence, ๏ทlim๏ทฎxโ†’๐ถ๏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.

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail