I need help with these four questions, can someone please explain each one thank you.

The graph below is the function f(x) O 5 -4 -3 -2 -1 1 N 3 4 Find lim x-2 Find lim f(z) x- 2+ Find lim f (ac ) x-2 Find f(2)43332 if 9:34 Let f :1: = ( ) { 2:1: 5 if a: > 4 Calculate the following limits. Enter "DNE" if the limit does not exist. 33 r= :1 53+ r= :] 1:34 mo = :1 The graph below is the function f(x) 5 -4 -3 -2 -1 1 2 4 5 Determine which one of the following rules for continuity is violated first at x = 2. Of(a) is defined. O lim f(x) exists. O lim f(x) = f(a). x -> aUse the limit definition of the derivative to find the instantaneous rate of change of f(:c) = 69:2 +7w+4atw = 2