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Determine the value of the constant k so that the function is continuous at x = 0.
Given:
The function f is continuous at x = 0,Therefore,
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.
= 1
= 1
= k
Thus, f is continuous at x = 0 if k =