Q. 115.0( 2 Votes )

Find the value of k so that the function f is continuous at the indicated point:

Answer :

Given,


…(1)


We need to find the value of k such that f(x) is continuous at x = 5.


A function f(x) is said to be continuous at x = c if,


Left hand limit(LHL at x = c) = Right hand limit(RHL at x = c) = f(c).


Mathematically we can represent it as-



Where h is a very small number very close to 0 (h0)


Now, let’s assume that f(x) is continuous at x = 5.



As we have to find k so pick out a combination so that we get k in our equation.


In this question we take LHL = f(5)



{using equation 1}


3(5 – 0) – 8 = 2k


15 – 8 = 2k


2k = 7


k = 7/2


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