1.1.8.1.
Answer.
The area is between and square units.
even | odd | |
even | even | odd |
odd | odd | even |
The numerator describes the area of a trapezoid with base
Problem: Evaluate Work: We use the substitutionThen so
Problem: Evaluate Work: We use the substitutionso When we have and when we have Then:
Since the Riemann sums are exactly the same,
Using the identity
So,
if |
if |
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and if |
then |
inconclusive |
and if |
inconclusive | then |
From the information in the problem statement, we know
So, by the direct comparison test,
Since the convergence of a series is not affected by its first
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converges absolutely | not possible |
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converges conditionally | diverges |