Does the celebrated harmonic series diverge or converge? Discover a proof using the integral test. Then generalize to define an entire class of series called p-series, and prove a theorem showing when they converge. Close with the sum of the harmonic series, the fascinating Euler-Mascheroni constant, which is not known to be rational or irrational.

The earliest Christians were in fact Jews - essentially, a Jewish sect of Jesus followers. They followed Jesus and respected his teachings as if he were much like a modern-day rabbi. And they adhered to the laws of Moses - which means they circumcised, ate Kosher, and respected Saturday as the Sabbath. So why is there such a separation between Judaism and Christianity today?

Quirt Evans, a notorious gunman, is wounded and nursed back to health by a Quaker family. He falls in love with their daughter, Penelope, and is influenced by their peaceful way of life. He has to choose between his violent past and his new-found love. 1947 American Western Romance Drama Film John Wayne plays Quirt Evans, a wanted man who has a reputation as a ruthless killer. He is chased by a posse and wounded in a shootout. He arrives at a farm...

An U.S. Marshal is suspected of a robbery when he witnesses it. As he investigates, he realizes the town's leading citizen is planning a massive heist. He must clear his name and stop the real culprits. 1934 American Western film directed by Robert N. Bradbury. The film stars John Wayne in one of his earlier leading roles. The story revolves around a U.S. marshal who gets caught up in a robbery where he is suspected of being the culprit. U.S. Marshal...

John Weston, the man from Utah, drifts into town just as Marshal Higgins is shooting it out with three bank robbers. Higgins asks Weston to assist him in the investigation of both a crooked rodeo-promoting gang that has been cheating neighboring towns out of their money and the mysterious deaths of the top rodeo performers. Weston agrees to investigate and works his way into the show, which is run by the shady Spike Barton. As Weston gets closer to...

Newlyweds Ben and Joanna's happiness is short-lived when Parsons leads a pirate attack on the family. The arrival of a merchant ship rescues the Robinsons. Back in Boston, David stands trial for the murder of Parson's brother.

After 23 years working as a devoted maid in an upper class Chilean household, embittered and ailing Raquel (Sundance Film Festival and Gotham Award winner Catalina Saavedra) can no longer care for the family alone. Trapped by guilt, matriarch Pilar (Claudia Celedón) refuses to let Raquel go, even though it is clear their longtime maid is slowly unraveling. Instead, Pilar hires more help, throwing Raquel into a jealous frenzy. The seemingly happy...

Host Neil deGrasse Tyson will tackle one of science's major challenges in each video, framed as a simple question that ordinary people wonder and worry about. Neil will guide us as he explores dramatic discoveries and the frontiers of research that connect each central, provocative mystery. Episode includes: 1) How Smart Are Dogs? - Meet an extraordinary boarder collie and other dogs changing our view of canine intelligence. 2) How Smart Are Dolphins?...

In the first of several lectures on how major world faiths approach death, the focus is on Judaism. From the importance of mourning and burial rites to the recent resurgence in American Jewish belief in an afterlife, go inside the evolving views on death and the afterlife in Jewish history.

The entire life of a girl named Una is turned upside down when she witnesses that her grandpa is abducted by aliens. Una, in her basement, discovers that her grandpa is an alien himself whose spaceship hit the planet some time ago, and there's still his pilot, a small grumpy robot. Una and the robot have less than 24 hours to find and rescue her grandpa.