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Given function is




given function is defined for every real number k
There are different cases for the given function
case(i) k > 1
Hence, given function is continuous for each value of k > 1
case(ii) k < 1
Hence, given function is continuous for each value of k < 1
case(iii) x = 1
Hence, at x = 2 given function is continuous
Therefore, no point of discontinuity