The discussion revolves around the convergence of the series 1 + 1/8 + 1/27 + 1/64, which participants identify as an infinite series of the form 1/n^3. There is uncertainty regarding the specific requirements of the problem, particularly whether the goal is to find the sum or simply to determine convergence.
The discussion is active, with various approaches being considered. Some participants have provided guidance on convergence tests, while others express doubt about the existence of a closed form for the sum. There is no explicit consensus on the best approach to take.
Participants note that the teacher's instructions were vague, leading to confusion about whether to find the sum or simply state convergence. There is mention of the context being a high school calculus class, which may influence the expectations for the solution.
What exactly does "solve" mean? Are you supposed to find the sum of this series, or do you only need to say that it converges or diverges?Hockeystar said:Homework Statement
Solve 1 + 1/8 + 1/27 + 1/64...
Homework Equations
Stuck here.
The Attempt at a Solution
I know the series is infinitetly adding 1/n^3. I know it should converge. How do I solve as lim x--> infinity. Teacher never gave us any info, he just said use number sense.