Tag : sequences and series
- For n ∈ N, let a_n = 1/(3n+2)(3n+4) and b_n = (n^3 + cos(3^n))/(3^n + n^3). Then, which one of the following is TRUE?
- Define the sequences {a_n}_{n=3}^{infty} and {b_n}_{n=3}^{infty} as a_{n} = (log(n) + \log(log(n)))^{log(n)} and b_{n} = n^{(1 + 1/{log(n)})}. Which one of the following is TRUE?
- For p,q,r ∈ R, r ≠ 0 and n ∈ N, let a_n = p^n·n^q(n/(n+2))^(n^2) and b_n = ((n^n)/(n! r^n))(sqrt((n+2)/n)). Then, which one of the following statements is TRUE?