Questions 2 and 3 in the picture. Please show any work or thought processes in the explanations for each question. 2. Given an ={In(n + 1) – In(n)}, determine whether E an converges or diverges. Why?n rulus tecombrnefraction3. Determine what the Divergence Test tells us about the series Ean,an = {Vn² + 1 – vn² – 1}.whereconjegateLust find ceneluscon cF 07fnction

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Description: Questions 2 and 3 in the picture. Please show any work or thought processes in the explanations for each question. 2. Given an ={In(n + 1) – In(n)}, determine whether E an converges or diverges. Why?n rulus tecombrnefraction3. Determine what the Dive

2) an=lnn+1-lnn. 3) an=n2+1-n2-1.

Answered: 2. Given a, = {ln(n + 1) – In(n)},…

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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Questions 2 and 3 in the picture. Please show any work or thought processes in the explanations for each question.

2. Given an =
{In(n + 1) – In(n)}, determine whether E an converges or diverges. Why?
n rulus te
combrne
fraction
3. Determine what the Divergence Test tells us about the series Ean,
an = {Vn² + 1 – vn² – 1}.
where
conjegate
Lust find ceneluscon cF 07
fnction

Expert Solution

Step 1: Given

2) $a_{n} = \{\ln (n + 1) - \ln (n)\}$ .

3) $a_{n} = \{\sqrt{n^{2} + 1} - \sqrt{n^{2} - 1}\}$ .

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