14. Discuss the continuity of the function f, where f is defined by
Given function is
Given function is defined for every real number k
Different cases are their
case (i) k < 1
Hence, the given function is continuous for every value of k < 1
case(ii) k = 1
Hence, given function is discontinuous at x = 1
Therefore, x = 1 is the point of discontinuity
case(iii) 1 < k < 3
Hence, for every value of k in 1 < k < 3 given function is continous
case(iv) k = 3
Hence. x = 3 is the point of discontinuity
case(v) k > 3
Hence, given function is continuous for each and every value of k > 3
case(vi) when k < 3
Hence, for every value of k in k < 3 given function is continuous