AR

- 00:00
- Have you ever wondered what one should do to find the limit of an indertiminate form...
- 00:05
- REAL FAST
- 00:05
- AND EASILY... When I mean fast, FAST, FAST
- 00:12
- Marquis de l'Hospital (to the left) but Johann Bernoulli (to the right) came up with it first...
- 00:17
- Came up with...
- 00:17
- L'Hopital's Rule OR Bernoulli's Rule
- 00:20
- and maintain a distance of 1,5 meters
- 00:24
- HOWEVER...
- 00:25
- Some functions act differently and spit out indeterminate forms...
- 00:29
- Indeterminate Forms
- 00:34
- JUST NEED TO...
- 00:35
- EVALUATE OUR LIMIT CORRECNTLY!
- 00:39
- So What is L'Hopital's Rule?
- 00:39
- ?
- 00:42
- Mathematical Theorem
- 00:43
- helps us evaluate limits of indeterminate forms like the ones I mentioned earlier in any particular limits
- 00:50
- EXAMPLE
- 01:03
- OKAY SO...
- 01:03
- Take First Derivative of the Equation
- 01:10
- EXAMPLE LIMIT FOR THIS PART
- 01:22
- YEAH, WHY DOES IT WORK???
- 01:38
- We don't know what's really going on with the function with the indeterminate form...
- 01:52
- We don't really know who has the influence over the limit
- 01:58
- We don't know any features of the function that will help us determine what the function is meant to do...
- 02:02
- Rates of Changes? That? YES!
- 02:08
- Main Foundation of L'Hopital's Rule
- 02:22
- But Arunim, why do we even need to know about this rule? Does this have any use in any field of studies and real-life applications?
- 02:27
- DUH!? 100%, it does!!
- 02:30
- L'Hopital's Rule application can be found in the fields of: Engineering Physics Statistics
- 02:36
- Can be utilized to prove the gamma function with the use of integration by parts!
- 02:42
- In Conclusion...
- 02:56
- Thank you!