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4. Find the limit of the following sequences. You can use any method you choose but make sure to make it clear why it works. (Explain the rule and/or use proper notation to work it through.) b. b₁ = 5()" a. an Sn² In(n) Graph the sequences (a) and (b) from question 4 in Desmos for 1 S ns 20. Make sure to scale the graph to see the sequences clearly.

4. Find the limit of the following sequences. You can use any method you choose but make sure to make it clear why it works. (Explain the rule and/or use proper notation to work it through.) b. b₁ = 5()" a. an Sn² In(n) Graph the sequences (a) and (b) from question 4 in Desmos for 1 S ns 20. Make sure to scale the graph to see the sequences clearly.

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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**Problem Statement:** 4. Find the limit of the following sequences. You can use any method you choose but make sure to make it clear why it works. (Explain the rule and/or use proper notation to work it through.) a. \( a_n = \frac{5n^2}{n^2 + 2} \) b. \( b_n = 5 \left( \frac{3}{4} \right)^n \) c. \( c_n = \frac{\ln(n)}{n^2} \) **Instructions for Graphing:** Graph the sequences (a) and (b) from question 4 in Desmos for \( 1 \leq n \leq 20 \). Make sure to scale the graph to see the sequences clearly.
Transcribed Image Text:**Problem Statement:** 4. Find the limit of the following sequences. You can use any method you choose but make sure to make it clear why it works. (Explain the rule and/or use proper notation to work it through.) a. \( a_n = \frac{5n^2}{n^2 + 2} \) b. \( b_n = 5 \left( \frac{3}{4} \right)^n \) c. \( c_n = \frac{\ln(n)}{n^2} \) **Instructions for Graphing:** Graph the sequences (a) and (b) from question 4 in Desmos for \( 1 \leq n \leq 20 \). Make sure to scale the graph to see the sequences clearly.
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