Hello everyone;
This might be a silly question, but what is the limit of when tends to infinity? To my mind, it would be 0. What do you think?
Thanks in advance.
It's been bugging me for quite long, I wanted to determine if a series is convergent or divergent.
By d'Alembert's criterion:
Then , so is divergent.
By Cauchy's criterion:
That's where I was left puzzled. Were the limit equal to zero, then by Cauchy's criterion the series would be convergent. Now that I know it's also , I have no more doubts.
Thanks a lot for your replies.
"e" is "Napier's constant," the number 2.718281828459045235360287471352662497757... This number has a lot of special properties, which I'll let you look up.
is a Math hieroglyph for the words "for all." It is most commonly used in set theory.
"ln()" is a logarithmic function, for example: , where e is Napier's number above.
-Dan