Check sibling questions

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

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.