Corona Spread Prevention [Copy]

Corona Spread Prevention [Copy]

Published on 27 June 2022
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Transcript
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!