Use the limit comparison test to determine whether converges or diverges.
a Choose a series with terms of the form and apply the limit comparison test. Write your answer as a fully simplified fraction. For
b Evaluate the limit in the previous part. Enter as infinity and as infinitg: if the limit does not exist. enter DNE
C By the limit comparison test, does the series converge, diverge, or is the test inconclusive?
Consider the series where
In this problem you must attempt to use the Root Test to decide whether the series converges. Compute
Enter the numerical value of the limit Lif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DVV if it diverges but not to infinity or negative infinity.
Which of the following statements is true?
A The Root Test says that the series converges absolutely
B The Root Test says that the series diverges.
C The Root Test says that the series converges conditionally.
D The Root Test is inconclusive, but the series converges absolutely by another test or tests.
E The Root Test is inconclusive, but the series diverges by another test or tests.
F The Root Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice heres.
