I have a few problems here. One I answered & the others have me stumped.
1) Determine whether or not the sequence A converges. If it converges, find its limit.
A = (sin n) / 3^n
I took the limit of A as n approaches infinity and used the squeeze theorem to get the answer A converges to 0. Is that right?
2) Determine if the infinite series converges or diverges. If it converges, find its sum.
Here is the series:
http://img.villagephotos.com/p/2006-10/1221148/Prob2.JPG
I cannot figure out what "a" is so that I can use the formula
"If |r| < 1, the series diverges to a/(1-r)." I'm assuming r = 9/10
3) Express the nth partial sum of the infinite series as a telescoping sum. Find the sum of the series if it converges.
Here is the series:
http://img.villagephotos.com/p/2006-10/1221148/Prob3.JPG
I just don't know where to start, and the textbook is very confusing without clear examples of similar problems.
Thank you for your time and help!
2006-11-05
08:28:26
·
2 answers
·
asked by
PuzzledStudent
2
in
Mathematics