limits are killing me.. please help!!?

Question

1. Let f(x)= ((x^2-2x+3)(x-2))/ (x-2)

find lim x-->2 f(x).

2. Let f(x)= {2 if x<0,
3-x if 0<=x<=1,
x^2+1 if x>1.

(<= mean greater than and equal to.)

a. is f continuous at x=0? Justify your answer.
b. is f continuous at x+1? Justify your answer.

Answer 1

= 0.

because it matters not.

all is vapor.