(a) What is a convergent sequence?
(b) What is a convergent series?
(c) What does limn→∞an= 3 mean?
(d) What does
(a)

To define: A convergent sequence.
Explanation of Solution
Definition:
If a sequence
Examples:
The sequence
(b)

To define: Convergent series.
Explanation of Solution
If the sequence of partial sums of the series is convergent, then the series is said to be convergent series.
(c)

To describe: The meaning
Answer to Problem 1CC
The sequence
Explanation of Solution
The sequence
(d)

To explain: The meaning of
Answer to Problem 1CC
The sum of the series is 3.
Explanation of Solution
The sequence of partial sums
That is, the sequence of partial sums converges to 3 as n tends to
Therefore, the sum of the series is 3.
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Chapter 11 Solutions
Calculus, Early Transcendentals
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