Originally Posted by

**llamaguy** This isn't homework, I'm learning this independently. The problem is that the tasks I have worked on so far using the definition of a convergence of a series use an $n$ term in the sequence, f.ex.:

show that $ lim(n->∞)|c/n^p|=0$ for any real $c$ and any $p>0$

solution: I set $ε>0$, then

$|c/n^p|<ε$ if $n^p>|c/ε|$ which implies $n>|c/ε|$ raised to $(1/p)$, so if you set $N=|c/ε|$ raised to $(1/p)$ it satisfies the definition.

I just don't know how to apply any of this when the initial sequence doesn't directly contain an $n$ term, and while I'm appreciative of your help I just don't get it, I'm sorry. The textbook doesn't help a single bit and I don't really have anywhere to ask for further help. Not sure if I am allowed to ask, but do you if anything then know a site where I can ask for a full tutorial on this problem? :/