In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

at x = 1

Given:


f(x) is continuous at x = 1


If f(x) to be continuous at x = 1,then,f(1)=f(1) + =f(1)


LHL = f(1) =


4 ....(1)


RHL = f(1) + =



k(1–0)2


k ....(2)


Since, f(x) is continuous at x = 1 & also


from (1) & (2)


k = 4


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