does 1/2+1/4+1/16+.. converges or diverge?

Explore the fascinating world of infinite series with our comprehensive guide. This illustrative example breaks down the concept of convergence, showcasing a classic sequence: the sum of the reciprocals of powers of 2. Delve into the intricacies of partial sums and understand how they inch closer to a finite limit. Mathematics enthusiasts and students alike, enhance your knowledge with our step-by-step analysis. Dive into the depths of sequences and series, and discover why this series converges to 1. Perfect for learning, teaching, or refreshing your mathematical skills.