Give examples of sequences:
a) one that converges to 100
b) one that converges to 3/4
c) one that diverges
Justify what you are presenting.
Determine which of the following series converges and compute its sum:
a) n=0, infinite 1/n^(1/3)
b) n=0, infinite 4^n
Justify your answer.
Do these work?
a) (99n + 1)/100n
c) (n^3)/(n^2 + 1)
by p series test, diverges b/c 1/3<1
by geometric series test, converges b/c 1/4<1 and sum=8/3
I'm not sure about this one because 4 isn't under a fraction or does that even matter?
Anyway, I got
by geometric series test diverges b/c 4>1