Chapter 7: Q. 1TF (page 641)
A series of monomials: Find all values of x for which the series converges.
a
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Improper Integrals: Determine whether the following improper integrals converge or diverge.
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.
Prove Theorem 7.25. That is, show that the series either both converge or both diverge. In addition, show that if converges to L, thenconverges tolocalid="1652718360109"
An Improper Integral and Infinite Series: Sketch the function for x ≥ 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?
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
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