I was looking for the rules of pi product rules.and i got here finally.thanks man❤❤❤
@deteriusGD
6 ай бұрын
nice explanation!
@borisdasgupta2170
2 жыл бұрын
I have a question could you please elaborate the step with the ln summation. I didn't get that part where the ln addition of all terms led us to o and 6720. Thank You very much
@MichaelMaths_
2 жыл бұрын
That part was calculated manually since the bounds were small enough. Just the sum for those 6 terms and brought them back in to the logarithm using the product rule. The rightmost sum can technically be done faster using another type of factorial, but I hadn't covered that here. Usually the conversion to a sum isn't always the most helpful, except for checking for convergence since there aren't many summation formulas with ln(x). But I wanted to show some context where it could technically be applied.
@borisdasgupta2170
2 жыл бұрын
@@MichaelMaths_ thanks 👌
@napluto2031
2 жыл бұрын
Great video
@forsakengod6668
Жыл бұрын
Thnx very helpful
@easyfundbles2608
Жыл бұрын
❤❤❤❤ thanks a lot
@chloeexe9949
Жыл бұрын
the second worked example, im confused as to where x-5 came from? could you please explain
@MichaelMaths_
Жыл бұрын
That was just from normal trinomial factoring and then splitting the product for each factor
@AchillesBuena
10 ай бұрын
Is the product notation the same as the sigma notation?
@MichaelMaths_
10 ай бұрын
They both combine many indexed items, but product notation multiplies everything together while sigma notation adds everything together.
@mihaiadamescu9861
2 жыл бұрын
That reset index formula works for anything inside the capital pi though right? Not just k?
@MichaelMaths_
2 жыл бұрын
Oh yeah, it does. I think in the moment I forgot to just show it as any expression, good catch 👍
@anandjee9541
3 жыл бұрын
Where is the thumbnail question
@MichaelMaths_
3 жыл бұрын
I just put that there for aesthetic and to showcase the construct haha. It isn't that hard to calculate if you are up to it, just that the result is very small. You need to split the product by division, reset index, and eventually arrive at 6627 / 2(47!).
@anandjee9541
3 жыл бұрын
@@MichaelMaths_ i thik my answer is also correct you just need to multiply and divide 47 to the answer which I got in order to get that answer which u have written, well thanks for replying
@adityamishra0706
4 ай бұрын
Thnx bro
@sarkersaadahmed
Жыл бұрын
6:22 how do you get 2
@MichaelMaths_
Жыл бұрын
The upper bound of the denominator is the original lower bound minus 1. The original is 3, so you get 3-1=2
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