i need help on 44 and the 2nd column of the piecewise functions

On the AP exam, there will be questions where you must find the hole of a function. This is basically finding the limit as you approach the discontinuity. The problems on the exam will be worded differently, but if you can recognize what to do, they are not that difficult. The following functions have a removable discontinuity (hole). If we fill in this hole to make the function continuous, what is the coordinate point to fill in? 41 x 2 - x - 12 x - 4 (X 4) ( *+3) 42 x2 +7x 2x-1 X- XI 2 x 43. . 2x2+x-1 44 3x2+13x+4 x+4 X - x - 12 X 4 X+3 X -4 = 0+4 Evoloste Jim fog 2 x = 4 Using the following piecewise functions, find the given values. V5 - x, x 3 (tan 0 , lim g(x) = x -+ 2 lim , h(x) = x - -5+ lim w(0) = lim , g(x) = x- -4+ lim_ h(x) = W (TT ) = g (2) = h (3) = lim, w(0) = lim_ g (x) = lim_h(x) = x - -5 lim_w(0) = lim g(x) = lim, h(x) = x 4 3+ lim w (0) = X - TI lim g (x) = lim h(x) = x-3 lim w(0) = x-2TC lim g(x) = h (-5) = lim w(0) = x-2TC g ( - 4) = lim h(x) = chens grow W (2TT) = 1.2 Limits Analytically Test Prep 1. lim cos(nx) = X - - 1 (A) TT (B) 1 (C) 0 (D) -1 (E) The limit does not exist