Find the following limits, if they exist. Highlight and explain the fact that a certain function is continuous if you use such a fact in your calculation. (a) (2 points) lim,-1 21/2-1' x-1 (b) (2 points) lime-to tan Hint: You can use the fact that limx-o sin ac = 1. x2 -5x+1 (c) (2 points) limx--0o (3x-2)(x+1) (d) (2 points) limx-1 73-1 1