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Calculus
Σan where an n=3 (1 + 4)*. n =

Σan where an n=3 (1 + 4)*. n =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In the series below:

1) Determine the limit.

2) Based on the limit, does the root test say the series converges, diverges or inconclusive?

The expression represents an infinite series starting from \( n = 3 \) and is written as: \[ \sum_{n=3}^{\infty} a_n \quad \text{where} \quad a_n = \left(1 + \frac{4}{n}\right)^{n^2}. \] This series involves terms \( a_n \) defined by the formula \( \left(1 + \frac{4}{n}\right)^{n^2} \). The summation indicates that you are summing these terms from \( n = 3 \) to infinity.
Transcribed Image Text:The expression represents an infinite series starting from \( n = 3 \) and is written as: \[ \sum_{n=3}^{\infty} a_n \quad \text{where} \quad a_n = \left(1 + \frac{4}{n}\right)^{n^2}. \] This series involves terms \( a_n \) defined by the formula \( \left(1 + \frac{4}{n}\right)^{n^2} \). The summation indicates that you are summing these terms from \( n = 3 \) to infinity.
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