True or false question on ellipses?

If the eccentricity of an ellipse (in other words, the value e) is close to zero, then the ellipse looks almost like a circle.





True or False?





Do you know why?





Thankyou so so much!





Merry Christmas everyone! Have a wonderful and safe holiday!True or false question on ellipses?
The eccentricity of an ellipse, defined as c/a, is a value on the interval [0,1] that describes the ';ovalness'; of an ellipse.





In other words, the eccentricity of an ellipse is equal to c (the distance from the center to a focus) divided by a (the distance from the center to a vertex).





The closer to 0 the eccentricity is, the more the ellipse looks like a circle; in fact, an ellipse with an eccentricity of EXACTLY ZERO is really a circle. The larger the eccentricity is, the more strongly marked oval shape the ellipse has.