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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