Please provide clear explanations for these questions. Note that you can only select one option for the multiple choice question.

Suppose that a function f (x ) is discontinuous (i.e., not continuous) at X =C Then it follows that... O f (x ) is undefined at x =C O lim f(x) x-c does not exist. O f ( x ) has a denominator that is equal to zero when X =C O f ( c ) # 0 Of ( C ) and lim f(x) are different, if they both exist.Ali, a MAT134 student, writes the following explanation for why the limit lim x-0 . cos ( 34 ) ] is zero: Since lim x = 0 x-0 we conclude, from the limit laws, that 2 lim x . cos lim x lim cos 3x x40 3x X-0 Of|lim cos () =0 x-0 What is wrong with Ali's explanation? How would you correct it