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Determine the value of the constant k so that the function is continuous at x = 2.
It is clear that when x<2 and x>2, the given function is continuous at x = 2.
So, at x = 2
We know that,
If f is continuous at x = c, then The Left–hand limit, the Right–hand limit and the value of the function at x = c exist and are equal to each other.
⇒ 4k = 3
Therefore, the required value of k is