@Mathispower4u
Thank you for the comments!
@rodolfobarranco03
just a quick question, in minute 4 you compare the function 1/(n-2)^(1/2) to 1/n^(1/2) which is actually smaller than the original function. since the definition of the comparison test says that in order for this to work the function An has to be between 0 and Bn. in other words: 0<An<Bn, wouldn't the example you showed be wrong?
@alkajon
When writing out a factorial, you are multiplying by the starting number and every integer down to 1. For example 3! = 3 * 2 * 1. So if you have n!, as n increases, so does the factors that you are multiplying by, whereas the base of 2 you only ever multiply by 2 for any value of n-1. 3! > 2^2 because 6 > 4 and 4! > 2^3 because 24 > 8. Essentially, the factorial increase faster than the exponent.
@shaheenhearts
you just took something that looks so horrible and scary on paper and turned it into something human friendly!! THANK YOUU SO MUCH!!!
@SarkTheShark94
bullcleo1 > patrickJMT I find your videos more organized and clear. Thanks Man
@ethanlarue4881
@ 5:13 why are we saying is it >? and not <?
@3andhalfpac
you also could use 1/n^2 starting n at 4 since 4^2 is 16 and 4! is 24 as long as 1/n!> 1/n^2.
@williamwarren9397
how do I know if its inconclusive?
@DADDY557
i think that is relating this n! to the"growth rates of sequences" which states that n! grows faster than b^n ....... that's how i think he got that random thing
@willytillyfilly
OMG THANK YOU FOR UPLOADING!!!!! You're a lifesaver. :D
@ac7491
That is an interesting cursor you have there.
@nycityzen
Why did you choose to compare n! to 2^n?
@sameergowani
we could also use the root test in the second example right?
@maithaap4565
thank you , such a life savor
@Mathispower4u
Yes, that is correct.
@exile341
I don't understand example #2 Bn is smaller than An. The rule for the comparison test states that 0<an<=bn. what is missing here?
@ΔημήτρηςΠπαπαδόπουλος
great work !!! very helpful !!!
@muhammadkabir-ud-dinnawaz8706
Where can I get PDFs of these slides ?
@TheTechnicalPandyaji
what is the straterg to know which test to apply when
@narutokurosaki6477