ANSWER IMMEDIATELY HW

Question

#15 Which of the following series can be used with the limit comparison test to determine whether the series 1 is the lower limit ; ∞ is the upper limit ; function (n^2)/(n^3 +1) converges or diverges?

a) 1 is the lower limit ; ∞ is the upper limit ; function 1/n

b) 1 is the lower limit ; ∞ is the upper limit ; function 1/n^3

c) 1 is the lower limit ; ∞ is the upper limit ; function n/(n+1)

d) 1 is the lower limit ; ∞ is the upper limit ; function 1/ (n^2)+1

Answer 1

Can be used harmonic series a) to prove that the given series diverges