1. Suppose for all n, an and bn are positive. If lim n-x Σan = 6 then Σαπ n=1 n=1 bn is also convergent. Which of the statements are true? Both I. and II. are true Only I. is true Only II. is true das = 6. bn 8 II. Let f(n)=an for all n. If Η Σ an is convergent, then - 1 and 8 [ f(x)

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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1. Suppose for all n, an and bnare positive. If lim
n-x
Σ
n=1
an
=
6 then
n=1
***
II. Let f(n) = an for all n. If Σ
bn = 6.
is also convergent.
Which of the statements are true?
Both I. and II. are true
Only I. is true
Only II. is true
an
bn
= 1 and
an is convergent, then
8
se
f(x) dx
Transcribed Image Text:1. Suppose for all n, an and bnare positive. If lim n-x Σ n=1 an = 6 then n=1 *** II. Let f(n) = an for all n. If Σ bn = 6. is also convergent. Which of the statements are true? Both I. and II. are true Only I. is true Only II. is true an bn = 1 and an is convergent, then 8 se f(x) dx
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