Q. 224.0( 6 Votes )

Determine the value of the constant k so that the function is continuous at x = 0.

Answer :

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 =


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