Please type the answer out thank you. I had very little trouble with this sectio
ID: 2885071 • Letter: P
Question
Please type the answer out thank you.
I had very little trouble with this section, but none the less found it extremely interesting. I wanted to ask a practical question in how to identify convergent or divergent qualities just from viewing the initial problem. I found that in some cases by observing the composition of the denominator I could speculate instantly whether it diverged or converged. I found that when concerning nth terms if the nth term in the denominator was accompanied by a largeir exponential than the one in the numerator then it would converge. I am sure this won't always be the case, but I was curious if this was a good way to predict the equation. Almost kind of similar to graphing polynomial expressions?Explanation / Answer
If the sequence of partial sums is a convergent sequence(i.e. its limit exists and is finite) then the series is also called convergent.
Likewise, if the sequence of partial sums is a divergent sequence(i.e. its limit doesn't exist or is plus or minus infinity) then the series is also called divergent.