This is the expected valu
This is the expected value of money won in which a gambler receives two raised to the k minus one dollars if it takes k coin flips for the first tail to appear. Hilbert's Paradox of the Grand Hotel addresses sets of this size, and this is the surface area of Gabriel's Horn and the perimeter of a Koch [koach] snowflake, which is a type of fractal. The symbol aleph-null is used for the countable version of this value. Name this value that is large beyond any limit.
This is the expected value of money won in which a gambler receives two raised to the k minus one dollars if it takes k coin flips for the first tail to appear.
infinity (or infinite or unbounded, accept "countable" before it is mentioned, prompt on "undefined")