Is it possible to add infinitely many small numbers?

Jun 03, 2020

Do you believe that 2−1 + 2−2 + 2−3 + 2−4 + 2−5 + 2−6 + .....= 1? How is it possible that adding infinitely many numbers and getting just 1? This series above is used to demonstrate one of Zeno's paradoxes, Achilles and the Tortoise. Colm Kelleher made a beautiful video to explain that paradox for us. Please check out the video below.