What should be the value of k such that the function is continuous at x = π.

Question

Question

Answer 1

Concept:

For a function say f, exists

, where l is a finite value.

Any function say f is said to be continuous at point say a if and only if , where l is a finite value.

Calculation:

Given: is continuous at x = π.

As we know that, if a function f is continuous at point say a then

∵ , we can use L'Hospitals rule.

⇒

⇒ k cos(0) = 1

⇒ k = 1.

Hence, option 2 is correct.