An Aesthetic Formula for Euler's Constant
As a math teacher, I always encourage students to explore further than their textbook but lessen the burden of daily appointment, so that they can think more and see math as what it is, which I think nothing is more crucial than.
In today's video Penn talks about the Euler–Mascheroni constant, which most college students don't know but actually have been dealing with when they're trying to solve calculus inequation problems (Obviously, the derivative of ln(x) is equal to 1/x), and its properties are very useful.
The main process of the video is about how to prove the equation below. Since it's not that difficult as you might think, would you take this challenge? Come on, have a try!
[img]https://i.imgur.com/PfYaHlb.png[/img]
In today's video Penn talks about the Euler–Mascheroni constant, which most college students don't know but actually have been dealing with when they're trying to solve calculus inequation problems (Obviously, the derivative of ln(x) is equal to 1/x), and its properties are very useful.
The main process of the video is about how to prove the equation below. Since it's not that difficult as you might think, would you take this challenge? Come on, have a try!
[img]https://i.imgur.com/PfYaHlb.png[/img]
