Example 2 - Examine whether f(x) = x2 is continuous at x = 0 - Examples

  1. Chapter 5 Class 12 Continuity and Differentiability
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Example 2 Examine whether the function f given by 𝑓 (𝑥) = 𝑥2 is continuous at 𝑥 = 0 Given 𝑓 (𝑥) = 𝑥2 The Given function is continuous at 𝑥 = 0 if, ﷐lim﷮x→0﷯ 𝑓(𝑥) = 𝑓(0) ∴ ﷐lim﷮x→0﷯ 𝑓(𝑥) = 𝑓(0) Hence f is continuous at x = 0

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.