Example 5 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at July 14, 2026 by

Example 5 - Check the points where f(x) = k is continuous - Examples

part 2 - Example 5 - Examples - Serial order wise - Chapter 5 Class 12 Continuity and Differentiability
 

 

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Example 5 Check the points where the constant function 𝑓 (π‘₯) = π‘˜ is continuous. Given 𝑓(π‘₯)=π‘˜ (where π‘˜ is any constant) To check continuity of 𝑓(π‘₯), We check it’s if it is continuous at any point x = c Let c be any real number f is continuous at π‘₯ =𝑐 if (π₯𝐒𝐦)┬(𝐱→𝒄) 𝒇(𝒙)=𝒇(𝒄)L.H.S (π₯𝐒𝐦)┬(𝐱→𝒄) 𝒇(𝒙) "= " lim┬(x→𝑐) " " π‘˜ = π‘˜ R.H.S 𝒇(𝒄) = π‘˜

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