1) If a series is convergent it's nth term approaches 0 as n approaches infinity. This makes perfect sense to me. 2) If the nth term of a series does not approach 0 as n approaches infinity, the series is divergent. Again, makes perfect sense.
This article is about the 1969 Rankin/Bass special. For the original song or the character, see Frosty the Snowman (song) or Frosty. Frosty the Snowman is an animated Christmas special that first aired on CBS on December 7, 1969. This special, written by Romeo Muller and produced and directed by Arthur Rankin and Jules Bass, is based on the holiday song of the same name, originally written by Jack Rollins and Steve Nelson and first performed by Gene Autry in the 1940s.
Frosty the Snowman was followed up by two more Christmas specials produced by Rankin/Bass-Frosty's Winter Wonderland in 1976, and Rudolph and Frosty's Christmas in July in 1979. In 1992, CBS produced a new follow-up special Frosty Returns. Most Frosty the Snowman DVD releases contain Frosty Returns as a bonus feature. In 2005, Classic Media created a direct-to-video sequel titled The Legend of Frosty the Snowman.