Example 1 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at July 14, 2026 by

Example 1 - Check continuity of f(x) = 2x + 3 at x = 1 - Examples - Examples

 

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Example 1 Check the continuity of the function f given by f (x) = 2x + 3 at x = 1. 𝑓(π‘₯) is continuous at π‘₯=1 if lim┬(xβ†’1) 𝑓(π‘₯) = 𝑓(1) (π₯𝐒𝐦)┬(π±β†’πŸ) 𝒇(𝒙) "= " lim┬(xβ†’1) " "(2π‘₯+3) = 2 Γ— 1 + 3 = 2 + 3 = 5 (π₯𝐒𝐦)┬(π±β†’πŸ) 𝒇(𝒙) "= " lim┬(xβ†’1) " "(2π‘₯+3) = 2 Γ— 1 + 3 = 2 + 3 = 5 𝒇(𝟏) = 2 Γ— 1 + 3 = 2 + 3 = 5 𝒇(𝟏) = 2 Γ— 1 + 3 = 2 + 3 = 5 Since, L.H.S = R.H.S ∴ Function is continuous.

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