A. Apply the appropriate limit theorems to evaluate each expression. t2-2t+1 1. lim (2x2 3x 2) 3. lim f (t) t-1 t2-1 if x < 0 if x = 2 x2 4 if x > 0 x - 2 2. lim f(x) if f(x) = x-2 B. Use direct substitution to evaluate the following limits. 2. lim 23x x--1 3. lim (log, x) 1. lim e 4x 4. lim sin x 5. lim_cos x x-3 C. By inspection, determine whether each limit does or does not exist. If it does, tell whether it is +o or -0o; if it does not, write DNE. x - 4 3. lim x--2x + 2 3 4 1. lim 2-x) 2. lim 4. lim - x- 1)* x-2 x-2 (x - 2)2 x-1