Mathematically, a function must be continuous at a point x = a if it satisfies the following conditions. f (a) exists (function must be defined on “a”) limx→a f (x) exists (limit of the
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A function is continuous at x = a if and only if limₓ → ₐ f (x) = f (a). It means, for a function to have continuity at a point, it shouldn't be broken at that point. For a function to be differentiable, it has to be continuous. All polynomials are
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