The eccentricity e of an ellipse is defined as the number c/a where a is the distance of a vertex from the center and c is the distance of a focus from the center. Because a > c, it follows that e < 1.  Write a brief paragraph about the general shape of each of the following ellipses. Be sure to justify your conclusions. 

(a) Eccentricity close to 0

(b) Eccentricity = 0.5 

(c) Eccentricity close to 1