question: there were other students at königsberg at this time who would become important in the development of mathematics, in particular wangerin studied for his doctorate around the same time as weber worked for his habilitation.
Capitalize this past sentence correctly.
A: There were other students at Königsberg at this time who would become important in the development of mathematics, in particular Wangerin studied for his doctorate around the same time as Weber worked for his habilitation.

question: before you can open a esh file, you'll need to figure out what kind of file the esh file extension refers to.
Capitalize this past sentence correctly.
A: Before you can open a ESH file, you'll need to figure out what kind of file the ESH file extension refers to.

question: if a user wishes to purchase a product/service from berlitz on www.berlitz.dk, the user concludes an order and payment procedure on the website, hereby submitting a purchase offer.
Capitalize this past sentence correctly.
A: If a User wishes to purchase a product/service from Berlitz on www.berlitz.dk, the User concludes an order and payment procedure on the website, hereby submitting a purchase offer.