 Hi and welcome to our session. Let us discuss the polling question. The question says evaluate the polling limits and exercises 1 to 22. Limit ax plus x cos x by b sin x as x tends to 0. Let's now begin with the solution. In this question we have to evaluate limit of ax plus x cos x by b sin x as x tends to 0. Now this is equal to limit x tends to 0. Taking x common from the numerator we get x into a plus cos x by b sin x. And this is equal to limit x tends to 0 a plus cos x by b into x by sin x. This is equal to limit x tends to 0 a plus cos x by b into 1 by sin x by x. You should know that limit of product of two functions that is limit of fx into gx as x tends to a is the product of limits of the functions that is limit of fx as x tends to a into limit of gx as x tends to a. So using this this is equal to limit x tends to 0 a plus cos x by b into limit x tends to 0 1 by sin x by x. Now this is equal to a plus cos 0 by b into we know that limit x tends to 0 sin x by x is equal to 1. So this means this is also equal to 1 cos 0 is equal to 1 so we have a plus 1 by b and so our required answer is a plus 1 by b. So this completes the session. Bye and take care.