The latter was used by my lecturer. I realised more people used the ratio test instead. The idea is the same. If u used the one my lecturer used, the limit will immediately be the radius of convergence. If you use ratio test, it's basically inverted. So u have to invert it to get the radius of convergence. Or as Sal did, just set it
Salman. Keep up your invaluable contents. Humanity is lucky to have you.
what do you mean "try it on your own"? at this point in the videos, we have *no idea* how this kind of thing is done.
usually this comes in the middle of the lesson where we have some knowledge of the topic
Excellent explanation. Thank you.
I have a question. I have seen the retio test being: (an+1)/(an) and (an)/(an+1). Which one is it and why?
The latter was used by my lecturer. I realised more people used the ratio test instead. The idea is the same.
If u used the one my lecturer used, the limit will immediately be the radius of convergence.
If you use ratio test, it's basically inverted. So u have to invert it to get the radius of convergence. Or as Sal did, just set it
can we use the geometric series test to determine the interval of convergence for this question? because there would be a 1/n left over
Great video!
Nice
pretty good
This is the 2nd time you made this same video today.. but oh well :)
There was a small mistake in the first version.
first comment
third comment
First dislike OMG!!