Infinite series
Judge convergence of a series using the limit of its partial sums.
Meaning
An infinite series is assigned a sum through the limit of its partial sums, not merely through the symbol for adding endlessly. If the partial sums do not converge, the series has no finite sum.
Example
Practice for this concept
Scope and references
Topics
Infinite sums, convergence and divergence, geometric series
Learning goal
Judge convergence of a series using the limit of its partial sums.
Helpful background
Distinguish limits of sequences from finite partial sums.
Infinite series
These ordinary choice questions provide limited practice in this concept. They do not establish independent solution, full-concept performance, or mastery.