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...
Related questions
Question
Determine wheter the following sequences converges or diverges. Explain your resoning. When convergent, find the limit. Please show all steps.
Transcribed Image Text:an
=
2n + 5
2η
4n+1
Expert Solution
Step 1: Check convergence by using limit
First, let's consider the limit of the sequence as approaches infinity:
We can rewrite the fraction inside the limit as:
Now, we have:
Using the limit properties, we can rewrite this limit as an exponential limit:
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