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 =