Many people balk at the idea that
0.999999999999999999999999999999999999999 . . .
(where the 9s keep going forever)
is exactly equal to 1. They feel it is very close to 1 but not really exactly equal to 1. In this video I present 4 methods of approaching this, two intuitive methods and two algebraic methods all of which support that this number is, in fact, EXACTLY equal to 1. (Note: it is the last algebraic method that deals with Geometric Series.)
0.999999999999999999999999999999999999999 . . .
(where the 9s keep going forever)
is exactly equal to 1. They feel it is very close to 1 but not really exactly equal to 1. In this video I present 4 methods of approaching this, two intuitive methods and two algebraic methods all of which support that this number is, in fact, EXACTLY equal to 1. (Note: it is the last algebraic method that deals with Geometric Series.)
Sorry for the bluriness of some of the images. I'm still working on finding the best approach to these videos. :-)
