the beggar's ride has been greenlit and is now listed in the steam store. for the latest information, purchase options, and discussions for the beggar's ride, please see it on the steam store or in the steam community.

How would the previous sentence be correctly capitalized?
Answer: The Beggar's Ride has been Greenlit and is now listed in the Steam store. For the latest information, purchase options, and discussions for The Beggar's Ride, please see it on the Steam Store or in the Steam Community.
the stand also had a fun activity meant to attract potential cutomers. the visitors could achieve a price reduction by sawing through a wooden plank: the quicker they sawed through it, the greater the discount.

How would the previous sentence be correctly capitalized?
Answer: The stand also had a fun activity meant to attract potential cutomers. The visitors could achieve a price reduction by sawing through a wooden plank: the quicker they sawed through it, the greater the discount.
because of this work dirichlet is considered the founder of the theory of fourier series. riemann , who was a student of dirichlet, wrote in the introduction to his habilitation thesis on fourier series that it was dirichlet :

How would the previous sentence be correctly capitalized?
Answer: Because of this work Dirichlet is considered the founder of the theory of Fourier series. Riemann , who was a student of Dirichlet, wrote in the introduction to his habilitation thesis on Fourier series that it was Dirichlet :
goedkoopste hotels en hostels in paris 10 entrepot, france

How would the previous sentence be correctly capitalized?
Answer: Goedkoopste hotels en hostels in Paris 10 Entrepot, France