Chapter 7: Q.1 (page 625)
Ifand are convergent series and c is any real number ,then
a)
b)
Short Answer
This means that adding or removing any finite number of terms from the start of the series does not change its convergent series
Chapter 7: Q.1 (page 625)
Ifand are convergent series and c is any real number ,then
a)
b)
This means that adding or removing any finite number of terms from the start of the series does not change its convergent series
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Get started for freeDetermine whether the series converges or diverges. Give the sum of the convergent series.
Given that and , find the value ofrole="math" localid="1648828282417" .
For each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder, .
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that localid="1649224052075" .
Let 0 < p < 1. Evaluate the limit
Explain why we cannot use a p-series with 0 < p < 1 in a limit comparison test to verify the divergence of the series
Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
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