For what value(s) of r is the series the summation from n=1 to infinity of 1/(n^r+3) convergent?

Question

a) r > -2
b) r > -1
c) r ≥ -2
d) All values of r
Please can you show me your work with the answer? Thank you very very much

Answer 1

recall that 1/n^p converges for p>1

Answer 2

PLEASE, I don't get it. Which one is the answer?

Answer 3

huh? really?
For what values of r is r+3 > 1 ??

Answer 4

r>-2. thanks