What is radius of convergence?

Problem Statement

What is radius of convergence?

Step-by-Step Explanation

The radius of convergence tells how far from the center a power series converges.

1. Identify what the question is asking. In Calculus 2, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

The radius of convergence tells how far from the center a power series converges. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.