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MHT CET 2023 Mathematics question

MathematicsContinuity and DifferentiabilityMHT CET 2023

is continuous at x = 0, then the value of k is

Answer: (A)

Solution

For continuity at the left-hand and right-hand limits must be equal. LHL: . RHL: rationalise, $Missing argument for \frac\frac{\sqrt x(\sqrt{16 + \sqrt x} + 4)}{(16 + Missing argument for \sqrt\sqrt x) -

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Question ID VK-094648