Please explain fully

f) (4 points) Evaluate the limit: lim f ( x ) - f ( 4 ) * + 4+ x - 4 = Lim ( 4 - h ) 2 - 7 ( 6-h)+ 10 h - 20 4 - h -4 Lim foc ) -f (4 ) 2C - > 4 Lim 16+ 12- 89 - 28 + 7h + 10 26 - 4 h- 20 -h Lim f (c ) -f4 ) Lim h- 70 h2 _ h - 12 = 00 26- 74 20 - 4 - h g) (4 points) Use your answers from above to determine if lim f ( x ) - f ( 4 ) x - 4 exists. Explain. x -+ 4 h) (4 points) Calculate f'(4). Explain