# Null and convergent sequences

Please show all the work.

(a) Use the definition of a null sequence to prove that the sequence {an} given by

an = (-1)^(n+1) / (n^3 - 3) , n = 1, 2, ...

is null.

(b) Determine whether or not each of the attached sequences {an} converges. Find the limit of each convergent sequence.

© BrainMass Inc. brainmass.com October 10, 2019, 1:10 am ad1c9bdddfhttps://brainmass.com/math/algebra/null-and-convergent-sequences-323788

#### Solution Summary

Null and convergent sequences are exemplified.

$2.19