Q5 of 30 Page 5

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

Given:


To find: value of k


Formula used:


f(x) is continuous at x = c where c is any real number


if L.H.L = R.H.L = f(c)



Since, f(x) is continuous at x = 0



f(0) = 0




⇒ f(x) = -k if x < 0




⇒ -k = 3


⇒ k = -3


Hence, the value of k is -3


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