1, Let be an angle defined on a unit circle, and is the point on this circle defined by , see the picture to the right. Recall also that the angle determining the full circle is 360 (360 degrees). What are the cardinalities (sizes) of the followings 2 sets of points? = { : is defined on = (3 + 5) 1 , for all integer } 10 points B = { : is defined on = 3 5 1 , for all integer } 15 points Provide short justification to all answers (you get only up to 50% of mark without justification). Q2, Identify the first 4 (four) values in each of the following sequences, decide whether they have limits when , and determine the relevant limits if they exist. Sequence () such that () = 2(1) (+2) =1 , for any integer > 0. 15 points Hint: elaborate on the fact that 1 (+1) = 1 1 (+1) . Sequence () such that (0) = 1 2 and () = ( 1) + 1 (2)+1 , for any integer > 0. 10 points Hint: use the fact that for any real 0 < < 1, =1 = 1 . Provide short justification to your answers (you get only up to 50% of mark without justification)