 Hi and welcome to the session. Let us discuss the following question. Question says, is the function defined by fx is equal to xy minus sin x plus pi continuous at x is equal to pi? First of all, let us understand that function f is continuous at x is equal to a, if it is defined at x is equal to a, what we can say f a exists and limit of the function is equal to value of the function at x is equal to a. This is the key idea to solve the given question. Let us now start our solution. We are given fx is equal to x square minus sin x plus pi. Now this is a polynomial function and below polynomial function is defined at all real values, sin x is also defined at all real values and this is a constant function which is defined at all real values. So, the given function f is defined at all real values or we can say it is defined at pi. So, we can write x is equal to pi function at this defined. Let us now find out limit of the function at x is equal to pi. So, we can write limit of x tending to pi fx is equal to limit of x tending to pi x square minus sin x plus pi. Now this is equal to pi square minus sin pi plus pi. Now we know sin pi is equal to 0. So, we get pi square plus pi. Top of the function at x is equal to pi is equal to pi square plus pi. Let us now find out value of the function at x is equal to pi, f pi is equal to pi square minus sin pi plus pi which is equal to pi square plus pi. We know sin pi is equal to 0. So, we get f pi equal to pi square plus pi. Now we get limit of the function is equal to value of the function at x is equal to pi. This implies given function f is continuous at x is equal to pi. So, this is our required answer. This completes the session. Hope you understood the session. Goodbye.