Uploaded May 2020 | Updated September 2026, 1 week ago
Infinite product explanation video: youtu.be/xMdfnPNGlWM
There is a minor mistake at the end: the finite product result should have 1/16 rather than 1/8 in the answer.
This product problem was requested by a viewer a while ago. Now that we know about the infinite product for 1/(1-x), we can apply it to all sorts of examples!
Check out more calculus problems here: youtube.com/playlist?list=PLug5ZIRrShJGFne7YhMi-4eYsUKzkITao
New math videos every Monday and Friday. Subscribe to make sure you see them!
Music: C418 - Pr Department
Infinite product explanation video: youtu.be/xMdfnPNGlWM
There is a minor mistake at the end: the finite product result should have 1/16 rather than 1/8 in the answer.
This product problem was requested by a viewer a while ago. Now that we know about the infinite product for 1/(1-x), we can apply it to all sorts of examples!
Check out more calculus problems here: youtube.com/playlist?list=PLug5ZIRrShJGFne7YhMi-4eYsUKzkITao
New math videos every Monday and Friday. Subscribe to make sure you see them!
Music: C418 - Pr Department
![Functions as Sums of Exponentials
The 5 by 5 inverse matrix to play around with:
[ 1, -10, 35, -50, 24;
0, -1/6, 3/2, -13/3, 4;
0, 8, -64, 152, -96;
0, -81/2, 567/2, -567, 324;
0, 128/3, -256, 1408/3, -256 ]
A method to represent functions as a sum of exponentials. Use the inverse matrix and try it out on some functions to see what happens!
This video is a response to Dr. Peyams video about diagonalizing the differential operator.
New math videos every Monday and Friday. Subscribe to make sure you see them! Functions as Sums of Exponentials](https://i.ytimg.com/vi/lldiTpV6gX8/mqdefault.jpg)









