While trying to help a student today, i realized there are two ways to tackle the problem. The traditional way of taking a series of derivatives was the first. The second was using the known Maclaurin series for cosine.
I find the analysis and explanations in this series just wonderful. While a PhD or advanced degree is certainly not a requirement to be smart and be able to get information across, it is very rare I think to find someone who apparently does not have those qualifications do such an incredible job. Where did you the scope of your knowledge of mathematics that you so clearly Express? Keep it up and don’t stop.
This was fun .... And literally a beautiful result. An equation that gives you what you need is nothing short of that word. Loved your explanation once again, Prime Newtons!
@@maxhagenauer24But that expression is not a McLaurin series in itself as was asked for. In order to get one, you need to multiply the product of the two infinite sums out by folding the coefficients. That is not so easy!
You are the most gifted teacher! I was trying to find your older video of solving (x+7)^7= x^7 + 7^7 , to show it to the friend, it took me a while. If you put the equations on the title it is easy to find them easily in RU-vid too.
How do you recommend a problem? I have one function I'd like you to look at that I've written that I think would be interesting to explore. Thank you for all of the maths that you do, and learning you facilitate!