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Continuity and Differentiability

Question

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Check the continuity of the function f given by f(x) = 2 x + 3 at x = 1.

Solution

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Prove that the function f(x) = 5 x – 3 is continuous at x = 0, at x = – 3 and at x = 5.

Solution

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Examine the continuity of the function f(x) = 2x² –1 at.x = 3

Solution

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Question

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Prove that the function f(x) = xⁿ is continuous at x = n, where n is a positive integer.

Solution

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