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Chapter 7: Q. 11 (page 655)
Fill in the blanks to complete each of the following theorem statements.
Basic Limit Rules for Convergent Sequences: If and if c is any constant,
If
The required answer is
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Find the values of x for which the series converges.
Given a series , in general the divergence test is inconclusive when . For a geometric series, however, if the limit of the terms of the series is zero, the series converges. Explain why.
An Improper Integral and Infinite Series: Sketch the function for x 鈮� 1 together with the graph of the terms of the series Argue that for every term of the sequence of partial sums for this series,. What does this result tell you about the convergence of the series?
Determine whether the series converges or diverges. Give the sum of the convergent series.
Find an example of a continuous function f :such that diverges and localid="1649077247585" converges.
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