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Which of the following is true? O If an infinite series An converges then the sequence of its partial sums converges to 0: lim az = 0 OIf lim a, = 0 n00 then an converges. An infinite sum of positive numbers always diverges to infinity. OIf lim an #0 n00 then an n=1 diverges.

Which of the following is true? O If an infinite series An converges then the sequence of its partial sums converges to 0: lim az = 0 OIf lim a, = 0 n00 then an converges. An infinite sum of positive numbers always diverges to infinity. OIf lim an #0 n00 then an n=1 diverges.

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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Question
Which of the following is true? If an infinite series an n=0 converges then the sequence of its partial sums converges to 0: lim az = 0 k-1 OIf lim an = 0 then an n=1 converges. An infinite sum of positive numbers always diverges to infinity. O If lim an #0 then n=1 diverges.
Transcribed Image Text:Which of the following is true? If an infinite series an n=0 converges then the sequence of its partial sums converges to 0: lim az = 0 k-1 OIf lim an = 0 then an n=1 converges. An infinite sum of positive numbers always diverges to infinity. O If lim an #0 then n=1 diverges.
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