Ill. Identify if the following is continuous at c, and if not identify the type of discontinuity. x2-4x+3 1. lim X - 1 X-1 2. lim f(x)=(X+3, x>5) x - 5 (2x-2, xs 5) L 3. lim f(x)=(X +1, x>2) x - 2 3x-2, Xs2 lim x+2 4. X - O X x2-10x+21 5. lim x-7 X-7IV. Check if the function passes through k at a given interval using intermediate value theorem 1. f(x) = 4x2-4x + 1, k = 20 [2. 4] 2. f(x)=x3+2x2-2x+1,k=2[0,1] 3. f(x)=x2-5x+6,k=0[-1,1] 4. f(x)=3x2-2x+1,k=5[1,2] 5. f(x) = 5x2-x + 1, k = 2 [0, 2]