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!