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Last updated at March 12, 2021 by Teachoo

Example 2 Examine whether the function f given by π (π₯) = π₯2 is continuous at π₯ = 0π(π₯) is continuous at π₯ = 0 if limβ¬(xβ0) π(π₯) = π(0) (π₯π’π¦)β¬(π±βπ) π(π) "= " limβ¬(xβ0) " " π₯2 Putting π₯ = 0 = (0)2 = 0 π(π) = (0)2 = 0 Since LHS = RHS Hence, f(x) is continuous at x = 0