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

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

Transcript

Example 2 Examine whether the function f given by 𝑓 (π‘₯) = π‘₯2 is continuous at π‘₯ = 0𝑓(π‘₯) is continuous at π‘₯ = 0 if lim┬(xβ†’0) 𝑓(π‘₯) = 𝑓(0) (π₯𝐒𝐦)┬(π±β†’πŸŽ) 𝒇(𝒙) "= " lim┬(xβ†’0) " " π‘₯2 Putting π‘₯ = 0 = (0)2 = 0 𝒇(𝟎) = (0)2 = 0 Since LHS = RHS Hence, f(x) is continuous at x = 0

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.