 Hi and welcome to the session. Let us discuss the following question. The question says evaluate the following events and exercises 1 to 22 limit of sine pi minus x pi pi into pi minus x as x tends to pi. Before solving this question, we should know that limit of sine x pi x as x tends to 0 is 1. The knowledge of this result is the key idea in this question. It is now beginning with the solution. In this question we have to evaluate limit of sine pi minus x pi pi into pi minus x as x tends to pi. To make use of this theorem, we have to make this pi as 0. So, now we will put pi minus x as theta. So, it tends to pi, theta tends to 0. Now by substituting theta and phase of pi minus x, we get limit theta tends to 0 sine theta pi pi into theta. This is equal to 1 pi pi into limit theta tends to 0 sine theta pi theta. We know that limit of sine x pi x as x tends to 0 is 1. So, this means limit of sine theta by theta as theta tends to 0 is also 1. So, we have 1 pi pi into 1 and this is equal to 1 pi pi. Hence a required answer is 1 pi pi. So, this completes the session. Bye and take care.