Show all work for the following questions. 1. Find the points of discontinuity, if any. a) f(x) = sin(x -2) 31) f ( x ) = 1 cron (1 1+ sin x b ) f (x ) = cos X X - T g) f (x ) =cosx c) f(x) = cotx h ) f ( x ) = V2 + tan x d) f (x) = secx 1 ) f ( x ) =. 1 - 2 sin x e) f(x) = cscx B A ( x ) = 3 5+2cosx 2. Prove the following are continuous: a) sin(x3 + 7x+1) b) 3 + sin 2x 3. Find the following limits: a) lim cos f lim sin 6x 7 2 k) lim x - too x-0 sin 8x x-0 1 - cos x b) lim sin tan 7x X g) lim- 1) lim x - too 2-3x x-+0 sin 3x x-0 cos x sin x c) lim sin x h) lim m) lim x-+ 0+ 5Vx X 1-70 1-cost d) lim sin h i) lim- X h-0 2h x-+0 tan x sin 3x e lim x -+ 0 X 4. Find a value for the constant k so that the following functions will be continuous at x = 0. sin 3x tan kx a ) x#0 b) x