Math Problem Statement

do an example of interval of convergnece with root test

Solution

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Math Problem Analysis

Mathematical Concepts

Series Convergence
Root Test
Interval of Convergence

Formulas

Root Test: lim (n → ∞) √[n]{|a_n|}
Simplification of |a_n| = |x|^n / n^n

Theorems

Root Test Theorem for Series Convergence

Suitable Grade Level

Grades 11-12 and College