Give examples of functions f and g such that f and g do not have limits at a point c, but such that both f+g and fg have limits at c.

Does the limit of a function depend on how the function is defined at the point being approached?

EVALUATE: A. Determine if the set is a function. If it is a function state its domain. 1. { (xy)/y = Vx - 4 } 2. { (x,y)/y= Vx2 - – z23 4 } 3. { (x,y)/y= V4 4. { (x,y)/ x² +y2 = 4 } } 5. { (x,y)/y= 3x2

{1,5,10,15} and Y1 = {1,5,10,15,20}. Using the formal definition of a function, determine which of the following subsets of X1 × Y 1 correspond to the functions of X1 → Y 1. Justify your Problem 7. Let X1 = answer by providing reasons why each is or is not a function. 7(a) f = {(1,15),(5,10),(1,5),(10,1),(15,1)} 7(b) f = {(1,20),(5,1),(10,1),(15,5),(1,20)} 7(c) f = {(1,1),(5,1),(10,1)}