What exactly is infinity ?
Infinity is a difficult concept to grasp fully and it is crucial when learning calculus. Infinity does not play a role in our everyday lives. We are finite and living in a finite world. Our lives have definite beginning and endings.
To grasp some sensory experience of infinity is to gaze toward the heavens on a beautiful sunset evening. This picture shows that the sun is infinite, boundless and undefined. It remains an open question, whether the universe actually extends forever. Infinity remain untouchable in its perfection.
I agree with your comment, inifinity remains untouchable in its perfection !