Do these work?
A)
a) (99n + 1)/100n
No, this one converges to .
b) (3n+1)/4n
Correct.
c) (n^3)/(n^2 + 1)
Correct.
B)
a)
by p series test, diverges b/c 1/3<1
Correct.
b)
by geometric series test, converges b/c 1/4<1 and sum=8/3
The series in your question is 4^n not (1/4)^n !
c)
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
There is no part c in your question ! And remember that, you should check the absolute value of the common ratio. For instance, DIVERGES. because |-3/2|=3/2>1.