Let f be the function given by the following expression: sIn r f(x) = 1 T = 0. (a) Prove that f is continuous at all points in its domain. You may use any facts you have learned in the Playlist 2 videos, and you do not have to do a proof from the definition of the limit. Your answer to this question should be quite short. sin (7 cos(x) In(x)) (b) Evaluate lim I-+1 You do not have to do a proof from the definition of the limit, but be sure to explicitly justify every step of your computation, citing any theorems from the videos you use and checking their hypotheses where appropriate. Your solution should use the result of part (a)