 Hello and welcome to the session. I am Deepika and I'm going to help you to solve the following question. The question says Find the value of k if the function fx is equal to kx here if x is greater than equal to 1 And fx is equal to 4 if x is less than 1 is Continuous and x is equal to 1 So let's start the solution so we have Fx is equal to kx here if x is greater than equal to 1 So right-hand limit x is equal to 1 is Limit to 1 plus f of x Which is equal to limit x tends to 1 plus which is again equal to Which is equal to k? This is less than 1 the left-hand limit x tends to 1 minus f of x which is equal to 4 and we have f of 1 is equal to K into 1 square which is equal to k Since we are given Fx is continuous x is equal to 1 therefore right-hand limit at x is equal to 1 is equal to left-hand limit at x is equal to 1 is Equal to value of the function at x is equal to 1 Now we have right-hand limit at x is equal to 1 is equal to k and The left-hand limit at x is equal to 1 is equal to 4 and f of 1 is equal to k So this implies K is equal to 4 Thus x is continuous x is equal to 1 if K is equal to 4 Hence k is equal to 4 is the answer for the above question This completes our session. I hope the solution is clear to you. Bye and have a nice day