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Let’s understand Limit and Continuity in one quick example! 👇 For 𝑓 ( 𝑥 ) = 𝑥 2 f(x)=x 2 : lim ⁡ 𝑥 → 3 𝑓 ( 𝑥 ) = 9 and 𝑓 ( 3 ) = 9 x→3 lim f(x)=9andf(3)=9 The limit exists and equals the function value — so f(x) is continuous at x = 3. But if there’s a hole or jump in the graph (like in piecewise functions ...
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