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


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

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