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Ex 5.1, 3 - Examine for continuity (a) f(x) = x - 5 - Ex 5.1

Ex 5.1 ,3 - Chapter 5 Class 12 Continuity and Differentiability - Part 2


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Ex 5.1, 3 Examine the following functions for continuity. (a) f(x) = x – 5 f(x) = x – 5 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) (π’π’Šπ’Ž)┬(𝐱→𝒄) 𝒇(𝒙) = lim┬(x→𝑐) π‘₯ βˆ’ 5 = c βˆ’ 5 𝒇(𝒄) = c βˆ’ 5 Since, L.H.S = R.H.S ∴ Function is continuous at x = c Thus, we can write that f is continuous for x = c , where c βˆˆπ‘ ∴ f is continuous for every real number.

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