1. Suppose for all n, an and bnare positive. If limn-xΣn=1an=6 thenn=1***II. Let f(n) = an for all n. If Σbn = 6.is also convergent.Which of the statements are true?Both I. and II. are trueOnly I. is trueOnly II. is trueanbn= 1 andan is convergent, then8sef(x) dx

Answered: 1. Suppose for all n, an and bn are…

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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By making use of Sigma Notations 2 2i 2 + n lim = 16 n i=1 True False Reset Selection
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Choose the answer that best completes the proof that inf(A)=0 where A = Firstly, we would show that o is a lower bound for A by noticing that 0s for all nEN- n2 Then.. O None of these O Then we would let W>0 be arbitrary but fixed and show that W can't be a lower bound for A: 1 0 it follows, from the Archimedean Property, that there exists NEN such that O Then we would let W>0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows that we can choose EA such that " 0 be arbitrary but fixed and show that W can't be a lower bound for A: Since W>0 it follows, from the Archimedean Property, that there exists NEN such that

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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)