 Hello and welcome to the session. In this session we discuss the final question which says evaluate the following limit, limit x times to infinity, 6 minus 5x square, this whole upon 4x plus 15x square. Let's now proceed with the solution. We are supposed to find the limit, limit x times to infinity, 6 minus 5x square and this whole upon 4x plus 15x square. Now we are supposed to find the infinite limit of this function. So what we do is, we suppose let x be equal to 1 upon y infinity y times to 0. So we can have limit y times to 0 and in base of x here we will put 1 upon y. So here we have 6 minus 5 into 1 upon y be equal to square this whole upon 4 into 1 upon y into 1 upon y be equal to y times to 0, 6 minus y square this whole upon 4 upon y, limit y times to 0, y square minus y square and this whole upon limit y times to 0, 6 y square whole upon 4 y or as y times to 0 be equal to 6 into 0 this is equal to minus 15. So this is equal to minus 1 upon 3 squared limit 15x square is equal to minus 1 upon 3. So we should have this question.