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.

A rat named Remy dreams of becoming a great chef despite his family's wishes and the obvious problem of being a rat in a decidedly rodent-phobic profession. When fate places Remy in Paris, he finds himself ideally situated beneath a restaurant made famous by his culinary hero. Despite the apparent dangers of being an unwanted visitor in the kitchen of one of Paris' most exclusive restaurants, Remy forms an unlikely partnership with Linguini, the garbage...

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!

The once mean and miserly Ebenezer Scrooge was forever changed by his ghostly Christmas Eve encounter. Now one year later, Scrooge receives another posthumous visit from his old business partner. It seems Jacob Marley is not yet finished with Mister Scrooge! Sent on a journey 170 years into the future, Scrooge encounters a world even colder and greedier than his own, a world that includes a young cutthroat businessman named Timothy Cratchit VI. Will...

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...

Nico Robin lends her many hands to an overmatched gang of revolutionaries in a frigid land of eternal suffering, and Usopp bulks up to avoid becoming a snack for a hungry, hungry island!

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.

Ever since hulking lawman Hobbs, a loyal agent of America's Diplomatic Security Service, and lawless outcast Shaw, a former British military elite operative, first faced off, the duo have swapped smack talk and body blows as they've tried to take each other down. But when anarchist Brixton gains control of an insidious bio-threat that could alter humanity forever, these two sworn enemies will have to partner up to bring down the only guy who might...

See the most popular comedy team in history perform their most-beloved skits in this hilarious collection.

With her life at a crossroads, 25 year old Sophie Conway returns home to the small town she always wanted to forget. Once home, she is faced with the friends and lovers she left behind, a tangled relationship with her Mother, and Harry Pleasant, an Alzheimer's Disease patient who, in an opposing way, shares Sophie's struggle to remember.