Resumen de Hilbert's Grand Hotel with a series twist

Chanakya Wijeratne, Ami Mamolo, Rina Zazkis

• This paper presents a new twist on a familiar paradox, linking seemingly disparate ideas under one roof. Hilbert's Grand Hotel, a paradox which addresses infinite set comparisons is adapted and extended to incorporate ideas from calculus – namely infinite series. We present and resolve several variations, and invite the reader to explore his or her own variations.