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Directions: Write up the following: In this problem, we will demonstrate the series converges: n=0 9 n2 +9 A) Give a good sentence that
Directions: Write up the following: In this problem, we will demonstrate the series converges: n=0 9 n2 +9 A) Give a good sentence that explains why the integral test is a good choice to show the series above converges. B) Give the related integral when using the integral test. C) Use the comparison test to demonstrate that the related integral converges. Remember, in the comparison test: Guess; via the behaves like principle that the integral converges. Words are required to explain your process here. Graph: the integrand and the behaves like function and determine that their relative positions are useful for the conclusion we want to reach. Words are required to inform your reader what they should see in your graph and why it is important. Show: the inequality that is needed to reach the conclusion we want to reach. Words are required to lead your reader from the starting point (something that is clearly true) to the ending point (the inequality we want to show). Conclude: the related integral converges by the comparison test. Say this with words. D) Conclude the series above converges by the Integral Test. Say this with words.
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