Series Crossword

3. By the ratio test, what is the radius of convergence of the series (1/5)^n(x+3)^n is _____.
5. By the direct comparison test, given that f(x)>g(x) and that f(x) converges, does g(x) converge or diverge?
6. What is the sum of the geometric series of (3/4)^n where the first term is at n=1?
8. What type of series is 1/n+1?
10. If the series of f(x) and the series of |f(x)| both converge, f(x) converges _______.

1. What test can be used to show that the series of 1/n^2 converges?
2. Does the series of 1/(n+3) converge or diverge by the integral test?
4. If you have a third term estimation, what term do you use for the lagrange error bound?
7. The nth term test is meant to test for what?
9. Which of the following tests proves convergence for the series of (-1)^n/n; AST, DCT, or LCT?
11. By the limit comparison test, if the limit, as n approaches infinity, of f(x)/g(x) exists and is both positive and finite, then the series of f(x) and the series of g(x) ____ converge or diverge.