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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.
Description
Mr. Bennet is an English gentleman living in Hartfordshire with his overbearing wife and 5 daughters. There is the beautiful Jane, the clever Elizabeth, the bookish Mary, the immature Kitty and the wild Lydia. Unfortunately, if Mr. Bennet dies their house will be inherited by a distant cousin whom they have never met. The family's future happiness and security is dependent on the daughters making good marriages. Life is uneventful until the arrival...
6) Bewitched
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During a remake of the television program Bewitched, Jack Wyatt, an actor who intends to play the role of Darrin in an attempt to regain his top spot in Hollywood, unknowingly casts a good-natured but real witch in the role of Samantha.
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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...
8) Blue Steel
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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...
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John Wayne returns for his latest adventure in, the Lawless Frontier! Notorious outlaw Pandro Zanti has met his match in John Tobin! After murdering Tobin's parents Zanti attempts to kill a local man and kidnap his daughter. Fueled by the desire of revenge and affections for the young lady, Tobin saddles up, and prepares for the fight of his life as the two square off in an confrontation the likes of which Texas has never seen!
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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...
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Government agent Singin' Sandy Saunders infiltrates a small town to investigate a corrupt land baron who is hoarding water and extorting ranchers. Saunders teams up with a young woman whose mine has been stolen by the baron, and together they fight to bring him down.
1933 pre-Code Western musical film starring 26-year-old John Wayne as Singin' Sandy Saunders. It was the first of a series of sixteen Lone Star Westerns made for Monogram Pictures between...
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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?
14) Santa Fe Trail
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Graduates from West Point Military Academy are posted to Kansas to help pacify the territory before railroad construction to Santa Fe can resume. However, tensions arise as a conflict erupts between the graduates and the abolitionist John Brown, along with his supporters.
1940 American Drama War Western Film produced by Warner Bros. Pictures
At West Point Military Academy in 1854, cadet Rader, an agent of the abolitionist John Brown, is discharged...
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Gangster Eddie Kagel finds himself in Hell to do the Devil's bidding in this noir classic that centers around revenge, love, and doing the right thing. After an agreement between Eddie and the Devil, Eddie returns to Earth to ruin the life of a judge and to seek revenge on the trusted lieutenant who sent him to his fiery demise. Little goes right for the duo as Eddie continuously enhances the reputation of the judge and, somehow, finds love.
17) John Adams
Description
While our new nation was suffering attacks from both within and without, John Adams had a vision of a nation of liberty and justice for all. He guided his peers--General George Washington, Benjamin Franklin and Thomas Jefferson--in setting the values and agenda for a glorious, free America. Adams and his wife Abigail refined these ambitious democratic ideals, and their partnership became one of the most moving love stories in American history.
18) Passengers
Description
After a plane crash, Claire, a young therapist, is assigned by her mentor to counsel the flight's five survivors. They share their recollections of the incident. Some say there was an explosion, but the airline claims it never happened. Claire becomes intrigued by Eric, the most secretive of the passengers. Despite her better judgment, Claire's professional relationship with Eric blossoms into a romance. Then the survivors begin to disappear mysteriously,...
Description
After crash-landing on an uncharted planet, astronaut Taylor (Charlton Heston) finds himself trapped in a savage world where talking apes dominate the human race. Soon, Taylor's life depends on the kindness of the chimpanzee scientists Cornelius (Roddy McDowall) and Zira (Kim Hunter) and his escape to the Forbidden Zone, where he uncovers an earth-shattering secret that may hold the key to his own destiny.
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