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

Question

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 = 5

Philoid · Accepted Answer

Given:

f(x) is continuous at x = 5 & f(5) = k

If f(x) to be continuous at x = 5,thenf(5)^–= f(5) ⁺ =f(5)

LHL = f(5)^–

(a – b)² = a² – 2ab + b²

⇒ 10

Since ,f(x) is continuous at x = 5 & f(5) = k

k = 10