I need help getting started on this. Any takers?? Problems 0, 1, and 2. THanks!!

Question

I need help getting started on this. Any takers?? Problems 0, 1, and 2. THanks!!!!

Determine the p-series test for using the integral test. That is, determine for which p the series converges. Integral test show that all conditions are met to use the integral test. Apply the integral test to determine series converges. Now that you have established that the series converges, it is possible to estimate the sum. Estimate the sum using S10 Comparison test: Establish that converges. How does compare with ? Graph both series and compare which is larger. Now prove one is larger Check that you have met all the conditions needed for the comparison test and use the test to show that converges. Use a partial fraction decomposition (See Appendix G for more info) to write the sequence of partial sums in closed form and to determine if the series converges, and to what value. comparison test: Use a comparison test to determine if this series converges. Be sure to show you have met all the conditions of the test.

Explanation / Answer

0)converges when p>1 else diverges 1)integral test: integral from 1 to infinity f(x)dx=inverse tan x with boundaries=pi/4;hence converges comaprision test: n^2+1>n^2=>1/n^2+1 given series converges comparison test: n^2+n>n^2 1

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