Uploaded February 2022 | Updated September 2026, 2 weeks ago
Epsilon-Delta definition explanation: youtu.be/JbbRaiXI6yw
Proofs that use the delta-epsilon definition of the limit can be confusing because it seems like we can prove that the limit is anything we want if we pick the right value of delta. In this video we prove that limits are unique and go over some examples of disproving limits!
Calculus Problems playlist: youtube.com/playlist?list=PLug5ZIRrShJGFne7YhMi-4eYsUKzkITao
0:00 Background
3:46 Example 1
9:46 Example 2
15:45 Backward proof?
17:14 Proof of uniqueness
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Music: C418 - Pr Department
Epsilon-Delta definition explanation: youtu.be/JbbRaiXI6yw
Proofs that use the delta-epsilon definition of the limit can be confusing because it seems like we can prove that the limit is anything we want if we pick the right value of delta. In this video we prove that limits are unique and go over some examples of disproving limits!
Calculus Problems playlist: youtube.com/playlist?list=PLug5ZIRrShJGFne7YhMi-4eYsUKzkITao
0:00 Background
3:46 Example 1
9:46 Example 2
15:45 Backward proof?
17:14 Proof of uniqueness
Subscribe to see more new math videos!
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)







