Need help with the below problems, need to see how the solution was found too:

1. Find all discontinuities of each function. (8 pts) x -3 a) f (x) = 2x-3+ 12 -4x if x2 2x -3 if x54 c) g(x) = 3x-1 if x4 2x+4 if x22 2. Use the definition of continuity to prove that f (x) _ x -3 if x5 3 is continuous 2x if x>3 at x = -2. (6 pts)3. Find the limit if it exists. Use i 00 where appropriate. {6 pts) a) m[ tan (5x? 1:90 9x